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JEE Advanced Mathematics question

MathematicsBasic Mathematics and LogarithmJEE Advanced

If then

Answer: (B)

Solution

Put , , . Then

x x + y y + z z = k [ x(y-z) + y(z-x) + z(x-y) ] = k· 0 = 0,

so , i.e. — option (b).

The same trick gives other standard identities: , and \log$

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Question ID VK-108651