JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 11 April 2023, Shift 2, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

If the line

l_1 : 3y - 2x = 3

is the angular bisector of the lines

l_2 : x - y + 1 = 0

and

l_3 : \alpha x + \beta y + 17 = 0

, then

\alpha^2 + \beta^2 - \alpha - \beta

is equal to ________.

Official answer

348

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Angle Bisector Locus via Distances

Same idea in other shifts

Asked 3× in all

30 Jan 2024, Shift 2 · Q16If $x^2 - y^2 + 2hxy + 2gx + 2fy + c = 0$ is the locus of a point, which moves such that it is always equidistant from the lines…MediumSingle correct
26 Aug 2021, Shift 1 · Q72Let ABC be a triangle with A $(-3, 1)$ and $\angle ACB = \theta$ , $0 < \theta < \frac{\pi}{2}$ . If the equation of the median through B is…HardSingle 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.