Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202021 Sep 2020Evening ShiftMathematicsDifferentiationActual

Find ( d y d x ) if (2 x^2-3 x y+y^2+x+2 y-8=0 )

Options

  1. A( 3 y-4 x-1 2 y-3 x+2 )
  2. B( 3 y+4 x-1 2 y-3 x+2 )
  3. C( 3 y-4 x-1 2 y+3 x+2 )
  4. D( 3 y-4 x-1 2 y-3 x-2 )

Correct answer

A. ( 3 y-4 x-1 2 y-3 x+2 )

Step-by-step solution

Given equation (2 x^2-3 x y+y^2+x+2 y-8=0 ) On differentiating w.r.t. (x ), we get ( aligned & 4 x-3 x d y d x -3 y+2 y d y d x +1+2 d y d x =0 & (3 x-2 y-2) d y d x =4 x-3 y+1 & d y d x = 4 x-3 y+1 3 x-2 y-2 = 3 y-4 x-1 2 y-3 x+2 aligned ) Hence, options (a) is correct.

Practice Differentiation on Quantrex Academy →

More from Differentiation

The domain of the derivative of the function f(x)= x 1+|x| is 2025If x= 2^ cosec ⁻¹ t and y= 2^ ⁻¹ t ,|t| 1 then d y d x = 2025If (a+ 2 b x)(a- 2 b y)=a^2-b^2 where a>b>0 , then at ( 4 , 4 ) , dy dx = 2025If x y - y x =0 , then d y d x = 2025If y = ( _ x x )^ x , then dy dx = 2025If f(x)=x^ Sec ⁻¹ x , then f^ (2)= 2025If y= x^4 3 x-5 (x^2-3 )(2 x-3) , then ( d y d x )_ x=2 = 2025If x^2+y^2+ y=4 , then the value of d^2 y d x^2 at x=-2 is 2025 Full Differentiation list All AP EAMCET PYQs