Let PQ be a chord of the parabola `y^2=4x`. A circle drawn with PQ as a diameter passes through the vertex V of theparabola. If `ar(Delta PVQ)=20` sq unit then the coordinates of P are

Let AB be a chord of the parabola x^(2) = 4y . A circle drawn with AB as diameter passes through the vertex C of the parabola. If area of DeltaABC = 20 sq . units then the coordinates of A can be

Let P and Q be distinct points on the parabola y^(2)=2x such that a circle with PQ as diameter passes through the vertex o of the parabola.If P lies in the first quadrant and the area of the triangle Delta OPQ is 32, then which of the following is (are) the coordinates of P?

Let P and Q be distinct points on the parabola y^(2)=4x such that circle,for which PQ is the diameter passes through vertex of the parabola.If area of /_OPQ(O is origin) is 20 and the diameter of circum circle of /_OPQ is d,then (d^(2))/(65) is equal to

Let P and Q be distinct points on the parabola y^(2) = 2x such that a circle with PQ as diameter passes through the veriex O of the parabola. if P lies in the first quadrant and the area of the triangle DeltaOPQ is 3sqrt2 , then which of the following is (are) the coordiantes of P?

The locus of mid - points of all chords of parabola y^(2)=4x, for which all cirlces drawn taking them as diameters passes through the vertex of the parabola is a conic whose length of the smallest focal chord is equal to

Let PQ be a focal chord of the parabola y^(2)=4x . If the centre of a circle having PQ as its diameter lies on the line sqrt5y+4=0 , then length of the chord PQ , is

IF (a,b) is the mid point of chord passing through the vertex of the parabola y^2=4x , then

Let PQ be the focal chord of the parabola y^(2)=4x . If the centre of the circle having PQ as its diameter lies on the line y=(4)/(sqrt5) , then the radius (in units) is equal to

Circles are described on the chords of the parabola y^(2)=4ax drawn though the vertex.The locus of the centres of circle