The angle between a pair of tangents drawn from a point P to the hyperbola `y^2 = 4ax` is `45^@`. Show that the locus of the point P is hyperbola.

The angle between the pair of tangents drawn from the point (2,4) to the circle x^(2)+y^(2)=4 is

The angle between a pair of tangents from a point P to the circle x^(2)+y^(2)=25 is (pi)/(3). Find the equation of the locus of the point P .

If two tangents drawn from a point P to the parabola y^(2)=16 (x-3) are at right angles, then the locus of point P is :

The angle between the tangents drawn from the point (-a,2 a to y^(2)=4ax is

The angle between the tangents drawn from a point (–a, 2a) to y^(2) = 4ax is

The angle between tangents drawn from a point P to the circle x^2+y^2+4x-2y-4=0 is 60^@ Then locus of P is

The angle between a pair of tangents from a point P to the circle x^(2)+y^(2)-6x-8y+9=0 is (pi)/(3) . Find the equation of the locus of the point P.