JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2026, Shift 1, Maths Q11

Question 11 of 75 in this shift, Maths question 11 of 25, Section A.

Let the line

L_1: x+3=0

intersect the lines

L_2: x-y=0

and

L_3: 3x+y=0

at the points A and B, respectively. Let the bisector of the obtuse angle between the lines

L_2

and

L_3

intersect the line

L_1

at the point C. Then

BC^2:AC^2

is equal to:

(1) $5:1$ Official answer
(2) $1:5$
(3) $2:3$
(4) $3:2$

Official answer

Option 1

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Acute and Obtuse Angle Bisectors

Same topic in other shifts

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.