JEE Main 2020 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 3 September 2020, Shift 2, Maths Q74

Question 74 of 75 in this shift, Maths question 24 of 25.

If the tangent to the curve,

y = e^x

at a point

(c, e^c)

and the normal to the parabola,

y^2 = 4x

at the point

(1, 2)

intersect at the same point on the

x

-axis, then the value of c is __________.

Official answer

4.00

NTA final key (Sep 2020).

Chapter: Application of Derivatives
Topic: Tangents and Normals
Idea tested: Intercepts of Tangent and Normal

Same idea in other shifts

Asked 3× in all

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.