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AP EAMCET202422 May 2024Morning ShiftMathematicsApplication of DerivativesActual

Equation of the normal to the curve y=x^2+x at the point (1,2) is

Options

  1. Ax-3 y+5=0
  2. Bx+3 y+7=0
  3. Cx+3 y+5=0
  4. Dx+3 y-7=0

Correct answer

D. x+3 y-7=0

Step-by-step solution

y=x^2+x d y d x =2 x+ .1 d y d x |_ (1,2) =3 Equation of normal at (1,2) is aligned & y-2= -1 ( d y d x )_ (1,2) (x-1) & y-2= -1 3 (x-1) x+3 y-7=0 aligned

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