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Area of the triangle with vertices (a, b...

Area of the triangle with vertices (a, b) `(x_(1), y_(1))` and `(x_(2), y_(2))`, where `a, x_(1), x_(2)` are in GP. with common ratio r and `b, y_(1), y_(2)` are in GP. with common ratio s is :

A

`ab(r-1)(s-1)(s-r)`

B

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

C

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

D

`ab(r+1)(s+1)(r-s)`

Text Solution

Verified by Experts

The correct Answer is:
C
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