Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A line
passes through the point
meets the line
whose equation is
at the point
. The equation to the line
so that
, is
. Find
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
37
Slopes of
and
are
and
respectively. If
be the angle between
and
, then 

Since 

Thus, the line
also makes an angle
with
. If
be the slope of the line
, then itsequation is 
Now 

or 
But slope of
is
, so slope of
is 
Therefore, the equation of line
given by
is
.
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
The gradient of the line joining the points on the curve , whose abscissae are 1 and 3, is
Slope of a line which cuts intercepts of equal lengths on the axes is
Equation to the straight line cutting off an intercept 2 from the negative direction of the axis of…
The equation of a straight line passing through (– 3, 2) and cutting an intercept equal in magnitud…
Let PS be the median of the triangle with vertices and R (7, 3). The equation of the line passing …
The equation of the line passes through ( a, b ) and parallel to the line , is