Let the quadratic curve passing through the point (-1,0) and touching the line y=x at (1,1) be y=f(x). Then the x -intercept of the normal to the curve at the point (α, α+1) in the first quadrant is _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 10 Apr, Evening shift · Q26

JEE Main 202310 Apr, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let the quadratic curve passing through the point

(-1,0)

and touching the line

y=x

(1,1)

y=f(x)

. Then the

x

-intercept of the normal to the curve at the point

(\alpha, \alpha+1)

in the first quadrant is __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Limit, Continuity and Differentiability Question with Answer (10 Apr Evening shift, Q26) | JEE Arc