If x 4 + y 4 = 14x 2 y 2 , then consider the following I. log 10 (x 2 + y 2 ) = log 10 x + log 10 y + 2 log 10 2 II. log10(x2 - y2) = log10 x + log10 y + log10 2 + 0.5 log 10 3 Which of the above is/are correct?

Correct Answer is : Both I and II

UPSC CDS II 2025 Mathematics Paper

Question : 38 of 100

Marks: +1, -0

If x⁴ + y⁴ = 14x²y², then consider the following
I. log₁₀(x²+ y²) = log₁₀ x + log₁₀ y + 2 log₁₀ 2
II. log10(x2 - y2) = log10 x + log10 y + log10 2 + 0.5 log₁₀ 3
Which of the above is/are correct?

I only
II only
Both I and II
Neither I nor II

Validate

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