Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The tangent and the normal drawn to the curve 
at 
cut the 
-axis at 
and 
respectively. If the length of the subtangent drawn to the curve at 
is equal to the length of the subnormal, then the area of the triangle 
in sq. units is
Text Solution
Verified by ExpertsThe correct answer is:
D
: Given curre 
Slope of tangent at 
is
Equation of tangent
Similarly, slope of normal 
Equation of normal is 
(ii)
Tangent cuts 
-axis at 
. 
.
and normal cuts 
-axis at 
. 
.
Area of 
──────────────────────────────────────────────────────────────────────────────────────────
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
If the curve passes through the origin and the tangents drawn to it at and are parallel to the …
A circular sector of perimeter 60 metre with maximum area is to be constructed. The radius of the c…
The range in which is increasing is
and are two roads enclosing an angle of and start from ' ' at the same time. travels along w…
The point on the curve , the tangent at which makes an angle with -axis is
The length of the subtangent to the curve at is