JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 27 June 2022, Shift 2, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

Let a circle

C

of radius

5

lie below the

x

-axis. The line

L_1: 4x+3y+2=0

passes through the centre

P

of the circle

C

and intersects the line

L_2: 3x-4y-11=0

Q

. The line

L_2

touches

C

at the point

Q

. Then the distance of

P

from the line

5x-12y+51=0

is ___________.

Official answer

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Perpendicular distance from point

Same idea in other shifts

Asked 4× in all

25 Jul 2022, Shift 2 · Q10Let the point $P(\alpha,\beta)$ be at a unit distance from each of the two lines $L_1:3x-4y+12=0$ , and $L_2:8x+6y+11=0$ . If $P$ lies below…MediumSingle correct
26 Aug 2021, Shift 2 · Q69A 10 inches long pencil AB with mid point C and a small eraser P are placed on the horizontal top of a table such that…MediumSingle correctHas a figure
4 Sep 2020, Shift 2 · Q74Let PQ be a diameter of the circle $x^2+y^2=9$ . If $\alpha$ and $\beta$ are the lengths of the perpendiculars from P and Q on the straight…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.