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MHT CET2012MathematicsDifferentiation

If x= 2 t 1-t² and y= 2 t 1+t² , then the value of d y d x is

Options

  1. A1
  2. Bt
  3. C1 1-t
  4. D1 1+t

Correct answer

A. 1

Step-by-step solution

Given, x= 2 t 1-t² and y= 2 t 1+t² Now, x= ⁻¹ ( 2 t 1-t² )x=2 ⁻¹ t ..(i) and y= ⁻¹ ( 2 t 1+t² )y=2 ⁻¹ t ...(ii) From Eq. (i), d x d t = 2 1+t² From Eq. (ii), d y d t = 2 1+t² d y d x = d y d t d t d x = 2 (1+t² ) (1+t² ) 2 =1

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