If y=f(x) is a curve and if there exists two points A (x_ 1 , f (x_ 1 ) ) and B (x_ 2 , f…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(y=f(x)\) is a curve and if there exists two points
\(A\left(x_{1}, f\left(x_{1}\right)\right)\) and \(\mathrm{B}\left(x_{2}, f\left(x_{2}\right)\right)\) on it such that \(f^{\prime}\left(x_{1}\right)=-\frac{1}{f^{\prime}\left(x_{2}\right)}=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}\) then the tangent at \(x_{1}\)1 is normal at \(x_{2}\) for that curve.
Number of such line on the curve y2 = x3 is
- 1
- 2
- 3
- 0
Answer
(B) 2
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