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.

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KollegeApply · Accepted Answer

Assertion (A) is true, but Reason (R) is false. Explanation: $\Rightarrow$ Using the section formula with ratio k : 1, Solving (−8k − 3)/(k + 1) = −6 gives k = $\frac{3}{2}$, Here, the ratio is 3 : 2 and a = 5, So the assertion is true. $\Rightarrow$ The Reason is false because the diagonals of a parallelogram bisect each other.

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