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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 G.P. with common ratio `r` and `b, y_1, y_2`, are in G.P with common ratio s, is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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