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Question

The equation of line(s) joining the vertex of y2=6x to the point on it whose abscissa is 24, is (are)

A
2y+x+1=0
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B
2yx+1=0
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C
x+2y=0
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D
x2y=0
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Solution

The correct options are
C x+2y=0
D x2y=0
Given, y2=6x
Vertex is (0,0)
For x=24,
y2=24×6=144
y=±12
Two points are possible on the parabola, (24,12) and (24,12)

Equation of line joining the point (0,0) and (24,12) is
y0=120240(x0)
y=12x
2yx=0

Similarly, equation of line joining the point (0,0) and (24,12) is
y0=120240(x0)
y=12x
2y+x=0

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