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MHT CET202124 Sep 2021Morning ShiftMathematicsApplication of DerivativesActual

The equation of tangent to the curve y=y= 2 (2 x+ 4 ) at x= 4 , is

Options

  1. A2 x+y- 2 -1=0
  2. B2 x-y- 2 +1=0
  3. Cx+y- 2 -1=0
  4. Dx-y- 2 +1=0

Correct answer

A. 2 x+y- 2 -1=0

Step-by-step solution

aligned & y = 2 (2 x + 4 ) & dy dx = 2 (2 x + 4 )(2) & ( dy dx )_ x = 4 =(2 2 ) ( 2 + 4 )=2 2 (- 4 )=-2 aligned When x = 4 , y = 2 ( 2 + 4 )=1 Hence equation of required tangent is (y-1)=-2 (x- 4 ) 2 x+y- 2 -1=0

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