If the straight line `a x+c y=2b ,` where `a , b , c >0,` makes a triangle of area 2 sq. units with the coordinate axes, then `a , b , c` are in GP a, -b; c are in GP `a ,2b ,c` are in GP (d) `a ,-2b ,c` are in GP

Options

A. a,b,c are in GP
B. a,-b, c are in GP
C. a,2b,c are in GP
D. a,-2b, c are in GP

Answer

A, B

Explanation

The area of the triangle is given by
`(1)/(2) xx (2b)/(a) xx (2b)/(c) = (2b^(2))/(ac) = 2`
`"or " b^(2) = ac`
Therefore, a,b,c are in GP. So, a,-b, c are alos in GP.