JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 30 January 2024, Shift 2, Maths Q16

Question 16 of 90 in this shift, Maths question 16 of 30, Section A.

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

x + 2y + 7 = 0

and

2x - y + 8 = 0

, then the value of

g + c + h - f

equals

(1) $6$
(2) $8$
(3) $14$ Official answer
(4) $29$

Official answer

Option 3

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

11 Apr 2023, Shift 2 · Q26If 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…HardNumerical value
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.