JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 April 2024, Shift 2, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

If the line segment joining the points

(5, 2)

and

(2, a)

subtends an angle

\frac{\pi}{4}

at the origin, then the absolute value of the product of all possible values of a is :

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

Official answer

Option 4

NTA final key.

Chapter: Straight Lines
Topic: Pair of Straight Lines
Idea tested: Angle between pair of lines

Same topic in other shifts

All Pair of Straight Lines questions

8 Apr 2026, Shift 2 · Q24Consider the circle $C : x^2 + y^2 - 6x - 8y - 11 = 0$ . Let a variable chord AB of the circle C subtend a right angle at the origin. If…HardNumerical value
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29 Jun 2022, Shift 2 · Q13The distance of the origin from the centroid of the triangle whose two sides have the equations $x - 2y + 1 = 0$ and $2x - y - 1 = 0$ and…HardSingle correct
25 Feb 2021, Shift 2 · Q70If the curve $x^2 + 2y^2 = 2$ intersects the line $x + y = 1$ at two points P and Q, then the angle subtended by the line segment PQ at…HardSingle correct
25 Jul 2021, Shift 2 · Q77Let the equation of the pair of lines, $y=px$ and $y=qx$ , can be written as $(y-px)(y-qx)=0$ . Then the equation of the pair of the angle…EasySingle correct

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.