Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If
, where
(area of triangle joining points
and
such that angle
is a right angle)
number of triangles, then which of the following is true?
Text Solution
Verified by ExpertsThe correct answer is:
A
(a, b, c, d)
Hence
and points
lie on the circle with
as diameter.
Also,
.

Now, the maximum area of the triangle is

For area
, we have four symmetrical positions of point
(shown as
).
For area
, we have exactly two points.
For area
, no such points exist.
──────────────────────────────────────────────────────────────────────────────────────────
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
Let and be finite sets such that . If the total number of relations that can be defined from to…
If for every real number , then the maximum value of is .
If is function such that , for , then is equal to .
If , then is equal to .
The number of functions that can be defined from the set into the set is equal to .
If , then the value of must be