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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 August 2021, Shift 1, Maths Q70

Question 70 of 90 in this shift, Maths question 10 of 30, Section A.

A tangent and a normal are drawn at the point

P(2, -4)

on the parabola

y^2=8x

, which meet the directrix of the parabola at the points A and B respectively. If

Q(a, b)

is a point such that AQBP is a square, then

2a+b

is equal to :

(1) $-12$
(2) $-16$ Official answer
(3) $-18$
(4) $-20$

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: Normals to Conics
Idea tested: Parabola Normal Point Form

Same idea in other shifts

Asked 2× in all

26 Jul 2022, Shift 1 · Q29Let the function $f(x) = 2x^2 - \log_e x$ , $x > 0$ , be decreasing in $(0,\ \mathrm{a})$ and increasing in $(\mathrm{a},\ 4)$ . A tangent to…HardNumerical value

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.