JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 25 July 2022, Shift 2, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

The tangents at the points

A(1,3)

and

B(1,-1)

on the parabola

y^2-2x-2y=1

meet at the point

P

. Then the area (in unit

^2

) of the triangle

PAB

is:

(1) $4$
(2) $6$
(3) $7$
(4) $8$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Tangent to General Conic (T=0)

Same idea in other shifts

Asked 6× in all

27 Jul 2022, Shift 1 · Q11Let $P(a, b)$ be a point on the parabola $y^2 = 8x$ such that the tangent at $P$ passes through the centre of the circle…MediumSingle correct
30 Jul 2022, Shift 2 · Q86Let $A\,(0, a+2)$ , $B\,(0, a)$ , $C\,(-2, 0)$ and $D\,(2, 0)$ be four points and the lines $AD$ and $BC$ intersect at $P\,(x, y)$ . If the…MediumNumerical value
26 Aug 2021, Shift 2 · Q72The point $\mathrm{P}(-2\sqrt{6},\sqrt{3})$ lies on the hyperbola $\frac{x^2}{\mathrm{a}^2}-\frac{y^2}{\mathrm{b}^2}=1$ having…HardSingle correct
24 Feb 2021, Shift 2 · Q64For which of the following curves, the line $x+\sqrt{3}y=2\sqrt{3}$ is the tangent at the point…EasySingle correct
8 Jan 2020, Shift 2 · Q74Let a line $y = mx$ $(\mathrm{m} > 0)$ intersect the parabola, $y^2 = x$ at a point P, other than the origin. Let the tangent to it at P…MediumNumerical 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.