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Logarithmic Differentiation

If x=a1/2+a...

Question

If $x = a^{\frac{1}{2}} + a^{\frac{- 1}{2}}, y = a^{\frac{1}{2}} - a^{\frac{- 1}{2}}$ , then value of $(x^{4} - x^{2} y^{2} - 1) + (y^{4} - x^{2} y^{2} + 1)$

A

9

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B

25

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C

14

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D

16

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Solution

The correct option is D 16

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Similar questions

x = a^{1 / 2} + a^{- 1 / 2}, y = a^{1 / 2} - a^{- 1 / 2}

, then value of

(x^{4} - x^{2} y^{2} - 1) + (y^{4} - x^{2} y^{2} + 1)

.

{sin}^{- 1} x + {sin}^{- 1} y = \frac{π}{2}

(x^{2} - x^{2} y^{2} + y^{2}) = q + x^{4} + y^{4}

Find the value of

p + q

.

y = ({cos}^{- 1} x)^{2},

(1 - x^{2}) y_{2} - x y_{1} - 2

x^{4} + x^{2} y^{2} + y^{4}

x = sin t

y = sin k t

(1 - x^{2}) y_{2} - x y_{1}

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