A pair of tangents are drawn from a point P to the circle `x^2+y^2=1`. If the tangents make an intercept of 2 on the line x=1 then the locus of P is

If the tangent from a point p to the circle x^2+y^2=1 is perpendicular to the tangent from p to the circle x^2 +y^2 = 3 , then the locus of p is

If the tangent from a point P to the circle x^(2)+y^(2)=1 is perpendicular to the tangent from P to the circle x^(2)+y^(2)=3 , then the locus of P is

If the tangent from a point p to the circle x^(2)+y^(2)=1 is perpendicular to the tangent from p to the circle x^(2)+y^(2)=3, then the locus of p is

Tangents are drawn from a point P on the line y=4 to the circle x^(2)+y^(2)=25 .If the tangents are perpendicular to each other,then coordinates of P are

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x. These tangents meet the line x=2 at P and Q, then length of PQ is

If two tangents drawn from a point P to the parabola y^2 = 4x are at right angles, then the locus of P is

If two tangents drawn from a point P to the parabola y^(2)=4x are at right angles then the locus of P is

Tangents are drawn from a point P to the hyperbola x^(2)-y^(2)=a^(2) If the chord of contact of these normal to the curve,prove that the locus of P is (1)/(x^(2))-(1)/(y^(2))=(4)/(a^(2))