Assertion (A): If a die is rolled, the probability of getting a number greater than 6 is $\dfrac{1}{6}$.

Reason (R): There are six possible outcomes when rolling a die, {1, 2, 3, 4, 5, 6}.

1. (A) is true and (R) is false.

2. (A) is false and (R) is true.

3. Both (A) and (R) are true and (R) is the correct explanation of (A).

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

If the areas of two similar triangles are in the ratio 9 : 64, then the ratio of their corresponding altitudes is:

1. 3 : 8

2. 2 : 1

3. 9 : 64

4. 8 : 3

In the given diagram, ΔAOB is a right-angled triangle and C is the mid-point of AB. The coordinates of the point which is equidistant from the three vertices of ΔAOB is :

1. (x, y)

2. (y, x)

3. $\Big(\dfrac{x}{2}, \dfrac{y}{2}\Big)$

4. $\Big(\dfrac{2x}{3}, \dfrac{2y}{3}\Big)$

Given matrix A = $\begin{bmatrix} 2 & 3 \ 1 & 2 \end{bmatrix}$ and matrix B = [2 −4]. Product AB is a matrix of order:

1. 2 × 2

2. 2 × 1

3. 1 × 2

4. product AB is not possible