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Two straight lines having variable slope...

Two straight lines having variable slopes `m_(1) and m_(2)` pass through the fixed points `(a, 0) and (-a, 0)` respectively. If `m_(1)m_(2)=2`, then the eccentricity of the locus of the point of intersection of the lines is

A

`sqrt2`

B

`sqrt3`

C

2

D

`sqrt((3)/(2))`

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The correct Answer is:
B
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