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Let B(1),C(1) and D(1) are points on AB,...

Let `B_(1),C_(1)` and `D_(1)` are points on AB, AC and AD of the parallelogram ABCD, such that `bar(AB_(1))=k_(1)bar(AB),bar(AC_(1))=k_(2) bar(AC)` and `bar(AD_(1))=k_(3) bar(AD)`, where `k_(1),k_(2)` and `k_(3)` are scalar.
Statement 1: `k_(1),2k_(2)` and `k_(3)` are in harmonic progression. If `B_(1),C_(1)` and `D_(1)` are collinear.
because
Statement 2: `(bar(AB_(1)))/(k_(1))+(bar(AD_(1)))/(k_(3))=(bar(AC_(1)))/(k_(2))`.

A

Statement - 1 is True, Statement -2 is True, Statement-2 is a correct explanation for Statement - 1

B

Statement - 1 is True, Statement - 2 is True, Statement-2 is NOT a correct explanation for Statement-1

C

Statement - 1 is True, Statement - 2 is False

D

Statement - 1 is False, Statement - 2 is True

Text Solution

Verified by Experts

The correct Answer is:
A
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