Careers360 Logo
JEE Main April 7 Shift 2 Question Paper with Solutions 2025 Released - Download PDF

Family of Lines - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Family of Lines is considered one of the most asked concept.

  • 43 Questions around this concept.

Solve by difficulty

Which of the following is NOT a conic section ? 

If a+2b+c=0, then the line ax+by+c=0 always passes through which of the following points

The equations of the lines passing through the point (1, 0) and at a distance 32 from the origin, are

A line passes through the point of intersection of the lines 100x+50y1=0 and 75x+25y+3=0 and makes equal intercepts on the axis, its equation is

Concepts Covered - 1

Family of Lines

Family of Lines

Any equation of line through the point of intersection of the lines L1=a1x+b1y+c1=0 and L2=a2x+b2y+c2=0 can be represented as

a1x+b1y+c1+λ(a2x+b2y+c2)=0 or, L1+λL2=0
Where λ is a parameter.

Note:.

The equation L1+λL2=0 or μL1+vL2=0 represents a line passing through the intersection of the lines L1 =0 and L2=0 which is a fixed point. And λ,μ,v are constants

Study it with Videos

Family of Lines

"Stay in the loop. Receive exam news, study resources, and expert advice!"

Books

Reference Books

Family of Lines

Mathematics for Joint Entrance Examination JEE (Advanced) : Coordinate Geometry

Page No. : 2.25

Line : 5

E-books & Sample Papers

Get Answer to all your questions

Back to top