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MHT CET202015 Oct 2020Morning ShiftMathematicsApplication of DerivativesActual

The equation of normal to the curve 2 x²+3 y²-5=0 at P(1,1) is

Options

  1. A3 x+2 y+1=0
  2. B3 x-2 y+1=0
  3. C3 x+2 y-5=0
  4. D3 x-2 y-1=0

Correct answer

D. 3 x-2 y-1=0

Step-by-step solution

Given 2 x²+3 y²-5=0 4 x+6 y d y d x =0 d y d x = -2 x 3 y At (1,1), d y dx = -2 3 Slope of normal = 3 2 Equation of normal is aligned & y-1= 3 2 (x-1) 2 y-2=3 x-3 & 3 x-2 y-1=0 aligned

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