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KCET2015MathematicsVector Algebra

If ( x=c t ) and ( y= c t ), find ( d y d t ) at ( t=2 )

Options

  1. A( 1 4 )
  2. B( 4 )
  3. C( - 1 4 )
  4. D( 0 )

Correct answer

C. ( - 1 4 )

Step-by-step solution

( x=c t ) Given that, ( x c=t ) and ( y= c t ) Now ( d x d t =c, d y d t = -c t² ) So, ( d y d x = d y d t d t d x = -c c t² = -1 t² ) At ( t=2 ), we get left. ( . d y d x |_ t=2 = -1 (2)² = -1 4 )

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