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If the common tangents to the parabola y...

If the common tangents to the parabola `y^2=4ax` and circle `x^2+y^2=c^2` makes an angle `theta` with x axis then `tan^2 theta`

Text Solution

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`y=mx+b`
`y^2=4ax`
`mb=a`
`(1+m^2)c^2=b^2`
`(1+m^2)c^2=a^2/m^2`
`m^4c^2+m^2c^2-a^2=0`
`m^2=(-c^2pmsqrt(c^4+4a^2c^2))/(2c^2)`
`m^2>1`
...
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