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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 \(\triangle ABC\) is …

Q1

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 \(\triangle ABC\) is 1sq. unit, then the sum of all possible values of \(a\) is

[JEE Main 2021, 27 Aug (Shift 2)]

a

\(
\frac{2 b^2}{b+1}
\)

b

\(
\frac{-2 b^2}{b+1}
\)

c

\(
\frac{-b^2}{b+1}
\)

d

\(
\frac{-2 b^2}{b+1}
\)

🔒
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