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If in the triangle ABC , B = 45^@ , t...

If in the triangle `ABC , B = 45^@ ,` then ` a^4 + b^4 +c^4 `=

A

`2a^2 ( b^2 + c^2)`

B

`2c^2 ( a^2 +b^2)`

C

`2b^2 (a^2 +c^2)`

D

`2(a^2b^2 +b^2c^2 +c^2 a^2)`

Text Solution

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The correct Answer is:
C
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