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JEE Main 2026 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 5 April 2026, Shift 2, Maths Q22

Question 22 of 75 in this shift, Maths question 22 of 25, Section B.

From the point

(-1, -1)

, two rays are sent making angles of

45^\circ

with the line

x+y=0

. These rays get reflected from the mirror

x+2y=1

. If the equations of the reflected rays are

ax+by=9

and

cx+dy=7

,

a, b, c, d \in \mathbf{Z}

, then the value of

ad+bc

is __________.

Official answer

7

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Reflection of a Line in a Line

Same idea in other shifts

Asked 2× in all

24 Jun 2022, Shift 2 · Q30Let $P_1$ be a parabola with vertex $(3, 2)$ and focus $(4, 4)$ and $P_2$ be its mirror image with respect to the line $x + 2y = 6$ . Then…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.