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Most Important Selected Qs for JEE AdvancedMathematicsDifferentiation

If y= a^2-b^2 ^2( x) then x^2 y^2 ( d y d x )^2 is equal to

Options

  1. Aa^2-y^2
  2. B(a^2-y^2 ) (b^2-a^2+y^2 )
  3. Ca^2+b^2-y^2
  4. D(b^2-y^2 ) (a^2-b^2 y^2 )

Correct answer

C. a^2+b^2-y^2

Step-by-step solution

aligned & y^2=a^2-b^2 ^2( x) 2 y d y d x =2 b^2 ( x) ( x) 1 x & x^2 y^2 ( d y d x )^2=b^4 ^2( x) ^2( x)=b^4 ( a^2-y^2 b^2 ) (1- a^2-y^2 b^2 ) aligned

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