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In a trapezium, $\vec{BC} = α \vec{AD} .$ We will then find that $\vec{p} = \vec{AC} + \vec{BD}$ is collinear with $\vec{AD}$ . If $\vec{p} = μ \vec{AD}$ then which of the following is true?

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μ=α+2

μ+α=1

α=μ+1

μ=α+1

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detailed solution

Correct option is D

c→−b→=αd→ and p→=AC→+BD→=μAD→ Hence, p→=c→+d→−b→=μd→ (using c→−b→=αd→)or μ=α+1

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In a trapezium, BC→=αAD→. We will then find that p→=AC→+BD→ is collinear with AD→. If p→=μAD→ then which of the following is true?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

In a trapezium, $\vec{BC} = α \vec{AD} .$ We will then find that $\vec{p} = \vec{AC} + \vec{BD}$ is collinear with $\vec{AD}$ . If $\vec{p} = μ \vec{AD}$ then which of the following is true?