" Find the locus of Pif the tangents drawn from "P" to "x^(2)+y^(2)=a^(2)" include an angle "alpha" ."

Find the locus of P if the tangents drawn from P to x^(2) + y^(2) = a^(2) include an angle alpha

Show that the locus of P where the tangents drawn from P to the circle x^(2)+y^(2)=a^(2) include an angle alpha is x^(2)+y^(2)=a^(2)cosec^(2)(alpha)/2

Show that the locus of P where the tangents drawn from P to the circle x^(2)+y^(2)=a^(2) include an angle alpha is x^(2)+y^(2)=a^(2)cosec^(2)(alpha)/2

Find the locus of P if the tangents drawn from P to x^(2) + y^(2) = a^(2) are perpendicular to each othe.

Prove that the locus of a point,tangents from where to hyperbola x^(2)-y^(2)=a^(2) inclined at an angle alpha& beta with x-axis such that tan alpha tan beta=2 is also a hyperbola.Find the eccentricity of this hyperbola.

Show that the locus of P where the tangents drawn from P to x^(2)+y^(2)=a^(2) are perpendicular to each other is x^(2)+y^(2)=2a^(2)

Show that the locus of P where the tangents drawn from P to x^(2)+y^(2)=a^(2) are perpendicular to each other is x^(2)+y^(2)=2a^(2)

The locus of the point of intersection of the two tangents drawn to the circle x^(2)+y^(2)=a^(2) which include are angle alpha is

The locus of the point of intersection of the two tangents drawn to the circle x^2 + y^2=a^2 which include are angle alpha is

Find the locus of the point of intersections of the tangent drawn to the circles x ^(2) +y^(2) =a ^(2) which makes a constant angle alpha to each other.