From a point P perpendicular tangents PQ and PR are drawn to ellipse `x^(2)+4y^(2) =4`, then locus of circumcentre of triangle PQR is

Tangents PA and PB are drawn to the circle x^(2)+y^(2)=4, then locus of the point P if PAB is an equilateral triangle,is equal to

From point P(8,27) tangents PQ and PR are drawn to the ellipse (x^(2))/(4)+(y^(2))/(9)=1. Then, angle subtended by QR at origin is

From point P(8,27) tangents PQ and PR are drawn to the ellipse (x^(2))/(4)+(y^(2))/(9)=1. Then, angle subtended by QR at origin is

Tangents PA and PB are drawn to the circle x^2+y^2=4 ,then locus of the point P if PAB is an equilateral triangle ,is equal to

If from a point P, tangents PQ and PR are drawn to the ellipse (x^(2))/(2)+y^(2)=1 so that the equation of QR is x+3y=1, then find the coordinates of P.

If from a point P , tangents PQ and PR are drawn to the ellipse (x^2)/2+y^2=1 so that the equation of Q R is x+3y=1, then find the coordinates of Pdot

If from a point P , tangents PQ and PR are drawn to the ellipse (x^2)/2+y^2=1 so that the equation of Q R is x+3y=1, then find the coordinates of Pdot

From the point P(16,7), tangents PQ and PR are drawn to the circle x^(2)+y^(2)-2x-4y-20=0 If C is the centre of the circle,then area of quadrilateral PQCR is

The locus of point of intersection of perpendicular tangents drawn to x^(2) = 4ay is