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Differentiation question

2020 · 4 Sep · Shift 1 · Q27

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PYQ Library
JEE Main
Mathematics
Differentiation
2020 · 4 Sep · Shift 1 · Q27

Differentiation question

2020 · 4 Sep · Shift 1 · Q27

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

\left( {a + \sqrt 2 b\cos x} \right)\left( {a - \sqrt 2 b\cos y} \right) = {a^2} - {b^2}

where a > b > 0, then

{{dx} \over {dy}}\,\,at\left( {{\pi \over 4},{\pi \over 4}} \right)

is :

A
${{a - 2b} \over {a + 2b}}$
B
${{a - b} \over {a + b}}$
C
${{a + b} \over {a - b}}$
D
${{2a + b} \over {2a - b}}$

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