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If there exists at least one point on th...

If there exists at least one point on the circle `x^(2)+y^(2)=a^(2)` from which two perpendicular tangents can be drawn to parabola `y^(2)=2x`, then find the values of a.

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Verified by Experts

The correct Answer is:
`age1//2`
We know that perpendicular tangents intersect on directrix.
So, there exists at least one point on the circle `x^(2)+y^(2)=a^(2)` from which two perpendicular tangents can be drawn to parabola if circle touches or intersects the directrix.
Directrix of the parabola is `x=-1//2`.
`:. "Radius of the circle", age1//2`
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