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JEE Main20257 Apr 2025Morning ShiftMathematicsParabolaActual

Let P be the parabola, whose focus is (-2,1) and directrix is 2 x+y+2=0 . Then the sum of the ordinates of the points on P , whose abscissa is -2 , is

Options

  1. A3 2
  2. B5 2
  3. C1 4
  4. D3 4

Correct answer

A. 3 2

Step-by-step solution

Equation of parabola (x+2)^2+(y-1)^2= ( 2 x+y+2 5 )^2 5 [(x+2)^2+(y-1)^2 ]=(2 x+y+2)^2 Put x=-2,5(y-1)^2=(y-2)^2 aligned & 5 (y^2-2 y+1 )=y^2-4 y+4 & 4 y^2-6 y+1=0 y₁+y₂= 3 2 aligned

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