In a triangle `ABC`, `a^4+b^4+c^4=2c^2(a^2+b^2)` prove that `C=45^@` or `135^@`

In a triangle ABC, a^4+b^4+c^4=2a^2b^2+b^2c^2+2a^2c^2 then sinA is equal to (A) 1/sqrt(2) (B) 1/2 (C) sqrt(3)/2 (D) none of these

In a triangle ABC , (a^2-b^2-c^2) tan A +(a^2-b^2+c^2) tan B is equal to

In any triangle ABC, if A=tan^(-1) 2 and B = tan^(-1) 3 . Prove that C= pi/4 .

In any triangle A B C , prove that: Delta=(b^2+c^2-a^2)/(4cotA) .

In a triangle ABC, let 2a^2+4b^2+ c^2= 2a(2b + c) , then which of the following holds good?

For any triangle ABC, prove that (b^2 - c^2) cotA + (c^2 - a^2) cotB + (a^2 - b^2) cotC = 0

If in a triangle ABC ,b +c=4a then cot(B/2)cot(C/2) is equal to

ABC is an isosceles triangle with AC = BC. If A B^2=2A C^2 , prove that ABC is a right triangle.

In a triangle ABC if 2Delta^(2)=(a^(2)b^(2)c^(2))/(a^(2)+b^(2)+c^(2)) , then it is

A B C is an isosceles triangle with A C=B C . If A B^2=2\ A C^2 , prove that A B C is right triangle.