Q. 133.7( 3 Votes )
If a, b, c are in G.P. write the area of the triangle formed by the line ax + by + c = 0 with the coordinates axes.
a, b, c are in G.P.
Area of the triangle formed by the line ax + by + c = 0 with the coordinates axes.
The point of intersection of the line ax + by + c = 0 with the coordinate axis are (–c/a,0) and (0,-c/b).
So, the vertices of the triangle are (0, 0),
Let A be the area of the required triangle.
It is given that a, b and c are in GP.
∴ b2 = ac
Hence, area A
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