Let be points such that the area of triangle|Straight Lines

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JEE MAIN_2021_

27-8-2021_S2

Question

Let $A(a, 0), B(b, 2 b+1)$ and $C(0, b), b \neq 0,|b| \neq 1$, be points such that the area of triangle $A B C$ is 1 sq. unit, then the sum of all possible values of a is :

Select the correct option:

A

$\frac{-2 b}{b+1}$

B

$\frac{2 b}{b+1}$

C

$\frac{2 b^2}{b+1}$

D

$\frac{-2 b^2}{b+1}$

✓ Correct! Well done.

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