Q.

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

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a

μ=α+2

b

μ+α=1

c

α=μ+1

d

μ=α+1

answer is D.

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Detailed Solution

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