MCQ 11 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A)$ : Let $\text{f(x)}=\text{e}^\frac{1}{\text{x}}$ is defined for all real values of $x.$
Reason $(R) : \text{f(x)}=\text{e}^\frac{1}{\text{x}}$ is always decreasing as $\text{f'(x)} < 0$ is $\text{x }\in\text{ R}$
- ✓
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- D
$A$ is false: $R$ is true.
AnswerCorrect option: A. $A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
View full question & answer→MCQ 21 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ if $\text{f(x)}=\text{a}(\text{x}+\sin\text{x})$ is increasing function if $a \in(0,\infty)$
Reason $(R) :$ The given function $\text{f(x) }$is increasing only if $a \in(0,\infty)$
- A
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- ✓
$A$ is false: $R$ is true.
AnswerCorrect option: D. $A$ is false: $R$ is true.
View full question & answer→MCQ 31 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ The curve $y = x^2$ represents a parabola with vertex at origin.
Reason $(R) :$ For a curve Tangent and Normal lines are always perpendicular at thepoint of contact.
- A
Both $A$ and $R $ are true and $R$ is the correct explanation of $A$
- ✓
Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: B. Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
View full question & answer→MCQ 41 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) :$ The function $\text{y}=\log(1+\text{x)}\ \frac{2\text{x}}{2+\text{x}}$ is decreasing throughout its domain
Reason $(R) :$ The domain of the function $\text{y}=\log(1+\text{x)} \ \frac{2\text{x}}{2+\text{x}}$ is $(-1,\infty).$
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
- C
$A$ is true but $R$ is false.
- ✓
$A$ is false but $R$ is true.
AnswerCorrect option: D. $A$ is false but $R$ is true.
View full question & answer→MCQ 51 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ The equation of tangent to the curve $ \text{y} = \sin\text{x}$ at the point $(0, 0)$ is $y = x.$
Reason $(R) :$ if $\text{y}=\sin$ then $\frac{\text{dy}}{\text{dx}}$ at $x = 0$ is $1.$
- ✓
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- D
$A$ is false: $R$ is true.
AnswerCorrect option: A. $A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
View full question & answer→MCQ 61 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ He curves $x^3 - 3xy^2 = a$ and $3x^2 y - y^3 = b$ cut each other, where $'a\ ’$ and $'b\ ’$ are some constants.
Reason $(R) :$ The given curves cut orthogonally.
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
View full question & answer→MCQ 71 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ There exists a unique tangent to the curve $y^2 + 3x - 7 = 0$ at the point $(h, k)$ and is parallel to the line $x - y = 4$.
Reason $(R) :$ The value of $\text{k}=\frac{3}{2}.$
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
- C
$A $ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
View full question & answer→MCQ 81 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ For $\text{f(x)}=\text{x}+\frac{1}{2},\text{x}\neq0,$ maximum and minimum values both exists.
Reason $(R) :$ Maximum value of $\text{f(x)}$ is less than its minimum value.
- ✓
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- D
$A$ is false: $R$ is true.
AnswerCorrect option: A. $A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
View full question & answer→MCQ 91 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ The function $f(x) = x^3 - 3x^2 + 6x - 100$ is strictly increasing on $R$
Reason $(R) :$ A strictly increasing functions is an injective function.
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
View full question & answer→MCQ 101 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ There exists no tangent to the curve $=\sqrt{3\text{x}-2},$ which is parallel to the line $4x - 2y + 5 = 0$
Reason $(R) :$ Tangent to the curve $\text{x}=\sqrt{3\text{x}-2},$ exists at $\Big(\frac{41}{48},\frac{3}{4}\Big).$
- ✓
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- D
$A$ is false: $R$ is true.
AnswerCorrect option: A. $A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
View full question & answer→MCQ 111 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) :$ At $\text{x}=\frac{\pi}{6},$ the curve $\text{y}=2\cos^2(3\text{x})$ has a vertical tangent.
Reason $(R) :$ The slope of tangent to the curve $\text{y}=2\cos^2(3\text{x})$ at $\text{x}=\frac{\pi}{6}$ is zero.
- A
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- ✓
$A$ is false: $R$ is true.
AnswerCorrect option: D. $A$ is false: $R$ is true.
View full question & answer→MCQ 121 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
$AB$ is the diameter of a circle and $C$ is any point on the circle.
Assertion $(A) :$ The area of $\triangle\text{ABC}$ is maximum when it is isosceles.
Reason $(R) : \triangle\text{ABC}$ is a right $-$ angled triangle.
- ✓
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- D
$A$ is false: $R$ is true.
AnswerCorrect option: A. $A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
View full question & answer→MCQ 131 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Consider the function $\text{f(x)}=\sin^4\text{x}+\cos^4\text{x}.$
Assertion $(A) : \text{f(x)}$ is increasing in $\big[0,\frac{\pi}{4}\big].$
Reason $(R) : \text{f(x)}$ is decreasing in $\big[\frac{\pi}{4},\frac{\pi}{4}\big].$
- A
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- ✓
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- D
$A$ is false: $R$ is true.
AnswerCorrect option: B. $A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
View full question & answer→MCQ 141 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) :$ For the curve $x^3 + y^3 = 6xy$, the slope of the tangent at $(3, 3)$ is $2$.
Reason $(R) :$ The $\Big(\frac{\text{dy}}{\text{dx}}\Big)_{(\text{at }\text{x}_1,\text{y}_1)}$ gives slope of tangent of $\text{y}=\text{f(x)}{\text{ at }(\text{x}1,\text{y}_1)}$
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
View full question & answer→MCQ 151 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) :$ If $\text{f(x)}=\log(\cos\text{x)},\text{x} > 0$ is strictly decreasing in $\Big(0,\frac{\pi}{2}\Big).$
Reason $(R) :$ if $\text{f'(x)}\geq0,$ then $\text{f(x)}$ is strictlyincreasing function.
- A
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- ✓
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- D
$A$ is false: $R$ is true.
AnswerCorrect option: B. $A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
View full question & answer→MCQ 161 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ For all values of $ 'a' \ \text{f(x)}=\sin\text{x} \text{ ax}+\text{b}$ is decreasing on $\text{x }\in\text{ R}.$
Reason $(R) :$ Given function $\text{f(x)}$ s decreasing only if a $\in[1,\infty]$
- A
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- ✓
$A$ is false: $R$ is true.
AnswerCorrect option: D. $A$ is false: $R$ is true.
View full question & answer→MCQ 171 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ The points of contact of the vertical tangents to $\text{x}=5-3\cos\theta,$
$\text{y}=3+5\sin\theta$ are $(2, 3)$
Reason $(R) :$ For vertical tangent $\frac{\text{dx}}{\text{d }\theta}=0.$
- ✓
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- D
$A$ is false: $R$ is true.
AnswerCorrect option: A. $A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
View full question & answer→MCQ 181 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R) $ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) :$ Slope of the curve given as $y^2 = x$ at $x = 1$ not defined.
Reason $(R) :$ Slope of the curve given as $y^2 = x$ at $x$ = is $\pm\frac{1}{2}.$
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
- C
$A$ is true but $R$ is false.
- ✓
$A$ is false but $R$ is true.
AnswerCorrect option: D. $A$ is false but $R$ is true.
View full question & answer→MCQ 191 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) :$ The slope of normal to the curve $x^2 + 2y + y^2 = 0$ at $(- 1, 2)$ is $- 3$.
Reason $(R) :$ The slope of tangent to the curve $x^2 + 2y + y^2 = 0$ at $(-1, 2)$ is $\frac{1}{3}.$
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
View full question & answer→MCQ 201 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) : \text{f(x)}=\frac{1}{\text{x}-7}$ is decreasing ${7}.$
Reason $(R) : \text{f '(x)} < 0,\forall\text{ x}\neq7.$
- ✓
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- D
$A$ is false: $R$ is true.
AnswerCorrect option: A. $A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
View full question & answer→MCQ 211 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion $(A) : $ The function $y = [ x(y^2)]^2$ is increasing in $(0,1)\cup(2,\infty)$
Reason $(R) : \frac{\text{dy}}{\text{dx}}=0,$ when $\text{x}=0,1,2.$
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- ✓
Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: B. Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
View full question & answer→MCQ 221 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) : $ if $\text{f(x)}=\cos\big(2\text{x}+\frac{\pi}{4}\big)$ is strictly increasing in $\text{x }\in\big(\frac{3\pi}{8},\frac{7\pi}{8}\big)$
Reason $(R) :$ The function given above is strictly increasing in $\big(\frac{3\pi}{8},\frac{7\pi}{8}\big)$
- ✓
$A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
- B
$A$ is true $R$ is true; $R$ is not a correct explanation for $A.$
- C
$A$ is true: $R$ is false.
- D
$A$ is false: $R$ is true.
AnswerCorrect option: A. $A$ is true, $R$ is true: $R$ is a correct explanation for $A.$
View full question & answer→MCQ 231 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ For all values of $'t\ ’$ the tangent to the curve $x = t^2 - 1, y = t^2 - t$ is perpendicular tothe $x -$ axis.
Reason $(R):$ For lines perpendicular to $x -$ axis, their slopes will not defined always.
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false.
- ✓
$A$ is false but $R$ is true.
AnswerCorrect option: D. $A$ is false but $R$ is true.
View full question & answer→MCQ 241 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
The equation of the tangent at $(2, 3)$ on the curve $y^2 = ax^3 + b$ is $y = 4x - 5$
Assertion$ (A):$ The value of a is $\pm2$
Reason $(R):$ The value of b is $\pm7.$
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- ✓
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: C. $A$ is true but $R$ is false.
View full question & answer→MCQ 251 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ if $\text{f(x)}=\log(\sin\text{x)},\text{x}>0$ is strictly decreasing in $\Big(\frac{\pi}{2},\pi\Big).$
Reason$(R):$ if $f\ '(x)\geq0,$ then $\text{f(x)}$ is strictly increasing function
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- C
$A$ is true but $R$ is false.
- ✓
$A$ is false but $R$ is true.
AnswerCorrect option: D. $A$ is false but $R$ is true.
View full question & answer→MCQ 261 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):\ \text{f(x)}=\sin2\text{x}+3$ is defined for all real values of $x.$
Reason $(R):$ Minimum value of $\text{f(x)}$ is $2$ and Maximum value is $4.$
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
View full question & answer→MCQ 271 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ Equation of tangent at the point $(2, 3)$ on the curve $y^2 = ax^3 + b$ is $y = 4x - 5$.
Reason $(R):$ Value of $a = 2$ and $b = - 7$.
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
View full question & answer→MCQ 281 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):\ \text{f(x)}=\text{e}^\text{x}$ is an increasing function, $\forall\text{ x } \in\text{ R}$
Reason $(R):$ If $f\ '(x)\le0,$ then $\text{f(x)}$ is an increasing function.
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- ✓
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: C. $A$ is true but $R$ is false.
View full question & answer→MCQ 291 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ if $\text{f(x)}=\tan^{-1}(\sin\text{x}+\cos\text{x}),\text{x}>0$ is always strictly increasing function in theinterval $\text{x }\in\big(0,\frac{\pi}{4}\big)$
Reason $(R):$ For the given function $\text{f(x)},\text{f '(x)}>0$ if $\text{x }\in \big(0,\frac{\pi}{4}\big).$
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
View full question & answer→MCQ 301 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):\ f(x) = - x + 1 +3$ is defined for all real values of $x$ except $x = - 1$
Reason $(R):$ Maximum value of $f(x)$ is $3$ and Minimum value does not exist.
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- C
$A$ is true but $R$ is false.
- ✓
$A$ is false but $R$ is true.
AnswerCorrect option: D. $A$ is false but $R$ is true.
View full question & answer→MCQ 311 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ For the curve $y = \tan x ,$ the tangent and normal exists at a point $(0, 0).$
Reason $(R):$ Tangent and Normal lines are $x - y = 0$ and $x + y = 0.$
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
View full question & answer→MCQ 321 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A): \text{f(x)}=\sin\text{x})$ is defined for all real values of $x.$
Reason $(R):$ Minimum and minimum values does not exis.
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- ✓
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
AnswerCorrect option: C. $A$ is true but $R$ is false.
View full question & answer→