JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 26 August 2021, Shift 1, Maths Q72

Question 72 of 90 in this shift, Maths question 12 of 30, Section A.

Let 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

2x+y-3=0

and the equation of angle bisector of C is

7x-4y-1=0

, then

\tan\theta

is equal to :

(1) $\frac{1}{2}$
(2) $\frac{3}{4}$
(3) $\frac{4}{3}$ Official answer
(4) $2$

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

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
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

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.