JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 25 June 2022, Shift 2, Maths Q18

Question 18 of 90 in this shift, Maths question 18 of 30, Section A.

If the line

y = 4 + kx

k > 0

, is the tangent to the parabola

y = x - x^2

at the point

P

and

V

is the vertex of the parabola, then the slope of the line through

P

and

V

is:

(1) $\frac{3}{2}$
(2) $\frac{26}{9}$
(3) $\frac{5}{2}$ Official answer
(4) $\frac{23}{6}$

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: Tangents and Normals
Idea tested: Condition for a Line to Touch a Curve

Same topic in other shifts

All Tangents and Normals questions

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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.