Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If in Δ ABC, a 4 + b 4 + c 4 = 2a 2 (b 2 + c 2 ) then ∠ A is -
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, d)
a 4 + b 4 + c 4 = 2a 2 (b 2 + c 2 )
⇒ a 4 + b 4 + c 4 – 2a 2 b 2 – 2a 2 c 2 + 2b 2 c 2 = 2b 2 c 2
⇒ (b 2 + c 2 – a 2 ) 2 = 2b 2 c 2
⇒ b 2 + c 2 – a 2 =
bc or –
bc
⇒
=
or – 
cos A =
or – 
⇒ A = 45 0 or 135 0
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
In a Δ ABC, if P,Q,R divide sides AB, BC, CA respectively in k : 1. If , then k equals
In a triangle ABC, cos A cos B + sin A sin B sin C = 1, then the triangle is -
In a triangle ABC, =
If P is a point on the altitude AD of the triangle ABC such that ∠ PBD = , then AP is equal to -
In a Δ ABC, if a, b, c and A are given, then there are two Δ ’s with third sides c 1 and c 2 , then…
In a triangle ABC, tan = , tan = , then –