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COMEDK2014MathematicsParabola

The equation of the lines joining the vertex of the parabola y²=6 x to the point on it which have abscissa 24 are

Options

  1. Ay 2 x=0
  2. B2 y x=0
  3. Cx y=0
  4. D2 x 3 y=0

Correct answer

B. 2 y x=0

Step-by-step solution

Given, equation of parabola is y²=6 x Substitute x=24y²=6 24 y= 6 24 = 6 6 4 = (6 2)= 12 Point on the parabola is (24,12),(24,-12) vertex of given parabola is (0,0) . Equation of lines passing through (0,0) and (24,12) , (24,-12) is y= 12 24 x, y= -12 24 x 2 y-x=0,2 y+x=0 2 y x=0 are required equations of lines.

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