Angle between the tangents from a point (and the locus for a fixed angle)

1. A.
   $x^{2} + y^{2} = 4$
2. B.
   $x^{2} + y^{2} = 64$
3. C.
   $x^{2} + y^{2} = 32$
4. D.
   $x^{2} + y^{2} = 48$

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1. A.
   $45^\circ$
2. B.
   $90^\circ$
3. C.
   $60^\circ$
4. D.
   $30^\circ$

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1. A.
   $\dfrac{\pi}{2}$
2. B.
   $\dfrac{\pi}{3}$
3. C.
   $\dfrac{\pi}{4}$
4. D.
   $\dfrac{\pi}{6}$

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