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A(a, b), B(x1, y1) and C(x2, y2) are the...

A(a, b), `B(x_1, y_1)` and `C(x_2, y_2)` are the vertices of a triangle. If `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, then area of `triangle ABC` 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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