Assertion (A): Distance between (3, 7) and its image under x-axis… - Vidyadip

MCQ

Assertion (A): Distance between (3, 7) and its image under x-axis is 6 units.
Reason (R): Coordinates of centroid $=\frac{x_1+x_2+x_3}{3}, \frac{y_1+y_2+y_3}{3}$

A
Both A and R are true and R is the correct explanation of A.
✓
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

✓

Answer

Correct option: B.

Both A and R are true but R is not the correct explanation of A.

(B) Both A and R are true but R is not the correct explanation of A.
Explanation: Distance of point (h, k) from its image under x-axis is 2k units and distance of point (h, k) under y-axis is 2h units.

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 "Assertion (A) & Reason (B) MCQ" from MODEL PAPER 3 (BASIC)→MODEL PAPER 3 (BASIC) — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

Statement-1 (A): If one root of the quadratic polynomial $f(x)=(k-1) x^2-10 x+3, k \neq 1$ is reciprocal of the other, then $k=4$.
Statement-2 (R): The product of roots of the quadratic polynomial $a x^2+b x+c, a \neq 0$ is $\frac{a}{c}$

Assertion (A) : If the graph of a polynomial intersects the x -axis at exactly two points, then the number of zeroes of that polynomial is 2 .
Reason $(R)$ : The number of zeroes of a polynomial is equal to the number of points where the graph of the polynomial intersects x -axis.

Directions : In the following questions, a statement of assertion $(A)$ is followed by a statement of reason $(R)$. Mark the correct choice as:
Assertion : The equation $\sec^{2}\theta=\frac{4\text{xy}}{(\text{x}+\text{y})^{2}}$ is only possible when $x = y.$
Reason : $\sec^{2}\theta>1$ and therefore $(x - y)^2 < 0.$

Statement-1 (A): The value of the product of $P=\cos 1^{\circ} \cos 2^{\circ} \ldots \ldots \cos 179^{\circ}$ as $180^{\circ}$ is zero.
Statement-2 (R) : The value of $\cos 90^{\circ}$ is zero.

Statement-1 (A): A triangle with vertices at $(4,0),(-1,-1)$, and $(3,5)$ is isosceles right angled triangle.
Statement-2 (R): If $A B C$ is an isosceles triangle, then it is right angled.

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: $9 x^2-3 x-20=0\Rightarrow(3 x-5)(3 x+4)=0$ If the roots are calculated by splitting the middle term.
Reason: To factorise $a x^2+b x+c=0$, we write it in the form $a x^2+b_1 x+b_2 x+c=0$ such that $b_1+b_2-b$ and $b_1 b_2=a e$.

Statement- 1 (A) : In Fig. $ P A$ and $P B$ are tangents drawn from an external point $P$ to a circle with centre $O$ such that $\angle A P B=40^{\circ}$. If $C$ is a point on the circle, then $\angle A C B=70^{\circ}$.
Statement-2 (R): The lengths of tangents drawn from $P$ to the circle are equal.

→

Directions : In the following questions, a statement of assertion $(A)$ is followed by a statement of reason $(R)$. Mark the correct choice as:
Assertion : The point $(-1, 6)$ divides the line segment joining the points $(-3, 10)$ and $(6, -8)$ in the ratio $2:7$ internally.
Reason : Given three points, i.e. $A, B, C$ form an equilateral triangle, then $AB = BC = AC.$

Statement A (Assertion) : $11 \times 4 \times 3 \times 2+4$ is a composite number.
Statement R (Reason) : Every composite number can be expressed as product of primes.

Assertion (A): The given figure represents a hemisphere surmounted by a conical block of wood. The diameter of their bases is 6 cm each and the slant height of the cone is 5 cm . The volume of the solid is $196 cm^3$

Reason (R): The volume hemisphere is given by $\frac{2}{3} \pi r^3$

→