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If the straight line a x+c y=2b , where ...

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) `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

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

Text Solution

Verified by Experts

The correct Answer is:
A, B
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.
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