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The position vector of four points A, B,...

The position vector of four points A, B, C and D are a,b,c and d respectively . If a- b = 2(d-c) the

A

AB and CD bisects

B

BD and AC bisects

C

AB and CD trisects

D

BD and AC trisects

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The correct Answer is:
D
Given, `a - b = 2(d- c) `
` therefore 2c + a = 2d + b`
`implies (2c+a) /( 2+1 ) =(2d+b)/(2+1)=p`
Hence, point p(p) bisects AC and BD.
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