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if (a,b) , (c,d) , (e,f)are the vertices...

if `(a,b) , (c,d) , (e,f)`are the vertices of a triangle such that `a, c, e` are in `GP`. with common ratio `r` and `b, d, f` are in `GP` with common ratio `s`, then the area of the triangle is

A

`1/2|ab(r+1)(s+2)(s+r)|`

B

`1/2|ab(r-1)(s-1)(s-r)|`

C

`1/2|ab(r-1)(s+1) (s-r)|`

D

`1/2|ab(r+1)(s+1)(s-r)|`

Text Solution

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The correct Answer is:
B
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