JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 25 July 2022, Shift 2, Maths Q10

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

Let 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

L_1

and above

L_2

, then

100(\alpha+\beta)

is equal to

(1) $-14$
(2) $42$
(3) $-22$
(4) $14$ Official answer

Official answer

Option 4

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

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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.