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MHT CET202013 Oct 2020Morning ShiftMathematicsApplication of DerivativesActual

The equation of a normal to the curve x=4 and y=4 ² at = 4 is

Options

  1. Ax+y 2 =7 2
  2. B2 2 x+y=8 2
  3. C2 x+y=7 2
  4. Dx+2 2 y=12 2

Correct answer

D. x+2 2 y=12 2

Step-by-step solution

array rll & x=4 & and & y=4 ² & dx d =4 & and & dy d =8 ² array dy dx = slope of tangent = 8 ² 4 =2 At = 4 , dy dx =2 2 slope of normal =- 1 ( dy dx ) = -1 2 2 At = 4 , x =4 2 and y =4 Hence eq. of normal is aligned &(y-4)= -1 2 2 (x-4 2 ) & 2 2 (y-4)=-x+4 2 x+2 2 y=12 2 aligned

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