JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 6 April 2023, Shift 1, Maths Q12

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

The 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

m_1

and

m_2

are the slopes of the lines

l_1

and

l_2

, then the point of intersection of the line

y=(m_1+m_2)x

with

L

lies on

(1) $y-2x=5$
(2) $6x-y=15$
(3) $y-x=5$ Official answer
(4) $6x+y=10$

Official answer

Option 3

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

27 Jan 2024, Shift 1 · Q15The 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…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.