1.

If two tangents are drawn from a point to the circle x^(2)+y^(2)=32 to the circle x^(2)+y^(2)=16, then the angle between the tangents is :

Answer»

`(PI)/(4)`
`(pi)/(3)`
`(pi)/(2)`
`(pi)/(6)`

SOLUTION :`S_(1):x^(2)+y^(2)=32`
`S_(2):x^(2)+y^(2)=16`
`rArr""S_(1)=0" is the director circle of "S_(2)=0`
`rArr"Director circle is the LOCUS of two PERPENDICULAR tangents"`
`"Angle is "(pi)/(2)`


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