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Question

If the line y=mx+a meets the parabola y2=4ax at two points whose abscissas are x1 and x2, then x1+x2=0 if

A
m=1
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B
m=1
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C
m=2
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D
m=12
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Solution

The correct option is C m=2
Given line is y=mx+a (1)
y2=4ax (2)
Substitute y from equation (1) into equation (2)
(mx+a)2=4ax
m2x2+2amx+a2=4ax
m2x2+(2am4a)x+a2=0
For x1+x2=0,
Sum of roots =0
2am4am2=0
4a2am=0
m=2

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