ABCD is a parallelogram. Point P divides AB in theratio 2:3 and point Q divides DC in the ratio 4:1.Prove that OC is half of OA.

Question

ABCD is a parallelogram. Point P divides AB in theratio 2:3 and point Q divides DC in the ratio 4:1.Prove that OC is half of OA.
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Solution 1

Given that ABCD is a parallelogram, we know that opposite sides are equal and parallel.

Let's denote the points where P divides AB and Q divides DC as A and C respectively.

Since P divides AB in the ratio 2:3, we can say that AP:PB = 2:3. Similarly, since Q divides DC in the ratio 4:1, we can sa Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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