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MHT CET2012MathematicsParabola

If 2 x+y+ =0 is normal to the parabola y²=8 x , then is

Options

  1. A-24
  2. B8
  3. C-16
  4. D24

Correct answer

A. -24

Step-by-step solution

Given, parabola, y²=8 x array lr & 2 y d y d x =8 & d y d x = 4 y array Slope of normal of parabola =- y 4 ( i ) Given, 2 x+y+ =0 is a equation of normal of the parabola y²=8 x . Slope of normal =-2 (ii) From Eqs. (i) and (ii), we get - y 4 =-2 y=8(8)²=8 x x=8 Now, putting the values of x and y in the equation of normal aligned 2(8)+8+ &=0 &=-24 aligned

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