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COMEDK2018MathematicsDifferentiation

If x=a ( t+ t 2 ), y=a t , then d y d x =

Options

  1. At
  2. Bt
  3. C- t
  4. Dt

Correct answer

D. t

Step-by-step solution

We have, x=a ( t+ t 2 ) Now, d x d t =a - t+ 1 t 2 ² t 2 1 2 =a - t+ 1 t =a ( 1- ² t t )= a ² t t and y=a t d y d t =a t So , aligned d y d x &= d y / d t d x / d t &= a( t t) a ² t = t aligned

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