Question

Assertion: The ratio in which the point (−6, a) divides the join of (3, −1) and (−8, 9) is 3 : 2.

Reason: The diagonals of a parallelogram do not bisect each other.

Options

• Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

• Assertion (A) is true, but Reason (R) is false.

• Assertion (A) is false, but Reason (R) is true.

Answer 1

Assertion (A) is true, but Reason (R) is false.

Explanation:

⇒ Using the section formula with ratio k : 1,

Solving `(−8k − 3)/(k + 1)` = −6 gives k = `3/2`,

Here, the ratio is 3 : 2 and a = 5,

So the assertion is true.

⇒ The Reason is false because the diagonals of a parallelogram bisect each other.