Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The lines represented by the equation
will be equidistant from the origin, if
Text Solution
Verified by ExpertsThe correct answer is:
C
Let the equations represented by
be
and
.
Then the combined equation represented by these lines is given by 
So, it must be similar with the given equation.
On comparing, we get
,

According to the condition, the length of perpendiculars drawn from origin to the lines are same.
So, 
Now on eliminating
and
, we get the required condition 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A second degree homogenous equation in x and y always represents
If , then the ratio of slopes of the lines represented by the equation will be
The lines represented by the equation
are
If the lines represented by the equation make angles and with the x -axis, then =
If the lines joining origin to the points of intersection of the line and the curve be mutually p…
If the sum of the slopes of the lines given by is four times their product. Then c has the value