Tangents PQ and PR are drawn to the parabola `y^(2) = 20(x+5)` and `y^(2) = 60 (x+15)`, respectively such that `/_RPQ = (pi)/(2)`. Then the locus of point P is

Tangents PQ and PR are draqn to the parabola y^(2)=20(x+5)" and "y^(2)=60(x+15) respectively such that /_RPQ=pi/2, the locus of point P, is

From a point P, tangents PQ and PR are drawn to the parabola y^(2)=4ax . Prove that centroid lies inside the parabola.

From a point P, tangents PQ and PR are drawn to the parabola y ^(2)=4ax. Prove that centrold lies inside the parabola.

Let tangent PQ and PR are drawn from the point P(-2, 4) to the parabola y^(2)=4x . If S is the focus of the parabola y^(2)=4x , then the value (in units) of RS+SQ is equal to

Tangents PQ, PR are drawn to the circle x^(2)+y^(2)=36 from the point p(-8,2) touching the circle at Q,R respectively. Find the equation of the circumcircle of DeltaPQR .

Let P be a variable point.From P tangents PQ and PR are drawn to the circle x^(2)+y^(2)=b^(2) if QR always touch the parabola y^(2)=4ax then locus of P is

Tangent PQ and PR are drawn to the circle x^2 + y^2 = a^2 from the pint P(x_1, y_1) . Find the equation of the circumcircle of DeltaPQR .

Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary point P on the line x+y=1 . Then vertex of locus of midpoint of chord AB is

if P is a variable point and PQ and PRare the tangent drawn to the circle x^(2)+y^(2)=9. Let QR be always touching the circle x^(+)y^(2)=4 then locus of P is