JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 January 2024, Shift 1, Maths Q15

Question 15 of 90 in this shift, Maths question 15 of 30, Section A.

The portion of the line

4x+5y=20

in the first quadrant is trisected by the lines

L_1

and

L_2

passing through the origin. The tangent of an angle between the lines

L_1

and

L_2

is :

(1) $\dfrac{2}{5}$
(2) $\dfrac{8}{5}$
(3) $\dfrac{25}{41}$
(4) $\dfrac{30}{41}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Section Ratio by a Line

Same idea in other shifts

Asked 4× in all

6 Apr 2023, Shift 1 · Q12The straight lines $l_1$ and $l_2$ pass through the origin and trisect the line segment of the line $L: 9x+5y=45$ between the axes. If…MediumSingle correct
27 Jul 2022, Shift 1 · Q18Let $A(1, 1)$ , $B(-4, 3)$ , $C(-2, -5)$ be vertices of a triangle $ABC$ , $P$ be a point on side $BC$ , and $\Delta_1$ and $\Delta_2$ be the…MediumSingle correct
28 Jun 2022, Shift 2 · Q12Let a triangle be bounded by the lines $L_1 : 2x+5y=10$ ; $L_2 : -4x+3y=12$ and the line $L_3$ , which passes through the point P(2, 3),…MediumSingle 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.