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)`

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

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) include an angle alpha

Show tha the tangents drawn from the origin in to the circle x^(2)+y^(2)-2ax-2by+a^(2)=0 are perpendicular if a^(2)-b^(2)=0 .

The tangents drawn from the point P to the ellipse 5x^(2) + 4y^(2) =20 are mutually perpendi­cular then P =

Find the conditions that the tangents drawn from the exteriorpoint (g,f) to S= x^(2) + y ^(2) + 2gx + 2fy + c=0 are perpendicular to each other.

Find the condition that the tangents drawn from (0, 0) to S -= x^(2) + y^(2) + 2 gx + 2fy + c = 0 be perpendicular to each lt brgt other.