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Question

A line L passing through the focus of the parabola y2=4(x1) intersects the parabola in two distinct points. If m be the slope of the line L then

A
1<m<1
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B
m<1 or m>1
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C
m R
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D
none of these
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Solution

The correct option is D none of these
Let the equation of line be y=mx+c
Since, it passes through focus (2,0)
Then c=2m
Substitute L in parabola
(mx2m)2=4(x1)
m2x24x(m2+1)+4(1+m2)=0
Since, it intersection in two distinct points
Therefore, b24ac=16(1+m2)216(1+m2)>0
mR and m0

Hence, mR{0}

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