The condition that a straight line with ...

The condition that a straight line with slope m will be normal to parabola `y^(2)=4ax` as well as a tangent to rectangular hyperbola `x^(2)-y^(2)=a^(2)` is

A

`m^(6)+4m^(4)- 3m^(2) + 1 =0`

B

`m ^(6) - 4m ^(4) + 3m ^(2) -1=0`

C

`m ^(6) + 4m^(4)+ 3m^(2) +1=0`

D

`m^(6) - 4m^(4) - 3m^(2) + 1=0`

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The correct Answer is:

C

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