Area between the parabola x^2 = 4y and line x = 4y –2 is: - Vidyadip

MCQ

Area between the parabola $x^2 = 4y$ and line $x = 4y –2$ is$:$

A
$\frac{8}{9}$
B
$\frac{9}{7}$
C
$\frac{7}{9}$
✓
$\frac{9}{8}$

✓

Answer

Correct option: D.

$\frac{9}{8}$

$\frac{9}{8}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from APPLICATION OF INTEGRALS→APPLICATION OF INTEGRALS — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Let $\text{f(x)}=\frac{\tan\Big(\frac{\pi}{4}-\text{x}\Big)}{\cot2\text{x}},\text{ x}\neq\frac{\pi}{4}$ The value which should be assigned to f(x) at $\text{x}=\frac{\pi}{4},$ so that it is continuous everywhere is:

1
$\frac{1}{2}$
2
None of these.

Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a is congruent to b ∀ a, b ∈ T. Then R is:

Reflexive but not transitive.
Transitive but not symmetric.
Equivalence.
None of these.

Unboundedness is usually a sign that the LP problem.

Has finite multiple solutions.
Is degenerate.
Contains too many redundant constraints.
Has been formulated improperly.
None of the above.

A rectangular parallelopiped is formed by planes drawn through the point (5, 7, 9) and (2, 3, 7) parallel to the coordinate planes. The length of an edge of this rectangular parallelopiped is:

If $y=a x^2+b$, then $\frac{d y}{d x}$ at $x=2$ is equal to

$\int_{0}^{\frac{\pi^2}{4}}\frac{\sin\sqrt{\text{y}}}{\sqrt{\text{y}}}.$

$1$
$2$
$\frac{\pi}{4}$
$\frac{\pi^2}{8}$

Solution of the differential equation $\frac{\text{dy}}{\text{dx}}+\frac{\text{y}}{\text{x}}=\sin\text{x}$ is:

$\text{x}(\text{y}+\cos\text{x})=\sin\text{x}+\text{C}$
$\text{x}(\text{y}-\cos\text{x})=\sin\text{x}+\text{C}$
$\text{x}(\text{y}+\cos\text{x})=\cos\text{x}+\text{C}$
None of these.

Consider $Z(x, y)=p x+q y$ subject to $2 x+y \leq 10, x+3 y \leq 15, x, y \geq 0$. If $Z$ is maximum at both the points $(3,4)$ and $(0,5)$, then find $q$.

If $\text{P(A)}=\frac{7}{13},\text{P(B)}=\frac{9}{13}$ and $\text{P}(\text{A}\cap\text{B})=\frac{4}{13}.$ then, $\text{P}(\overline{\text{A}}|\text{B})=$

$\frac{5}{9}$
$\frac{4}{9}$
$\frac{4}{13}$
$\frac{6}{13}$

If the function $f(x) = kx^3 - 9x^2 + 9x + 3$ is monotonically increasing in every interval, then: