Question

The equation of straight line passing through (-a, 0) and making the triangle with axes of area ‘T’ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

If the line cuts off the axes at A and B, then area of triangle is $\frac{1}{2}\times OA\times OB=T$
$\Rightarrow \frac{1}{2}.a.OB=T\Rightarrow OB=\frac{2T}{a}$
Hence the equation of line is $\frac{x}{-a}+\frac{y}{2T/a}=1$
$\Rightarrow 2Tx-a^{2}y+2aT=0$