[" Let P and "O" be distinc polints on the "],[" the parobola i "1" P lles in the first cuarroolay "^(2)" : "2times" such that a circle with "" PO "],[" coorthates of plameter passes through the verexo of "],[" (1) "1,2sqrt(2)" ) "]

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 OPQ is 3 sqrt(2) , then which of the following is (are) the coordinates of P ?

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?

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 3 sqrt 2 , then which of the following is (are) the coordinates of P? (a) ( 4 , 2 √ 2 ) (b) ( 9 , 3 √ 2 ) (c) ( 1 4 , 1 √ 2 ) (d) ( 1 , √ 2 )

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 3 sqrt 2 , then which of the following is (are) the coordinates of P? (a) ( 4 , 2 √ 2 ) (b) ( 9 , 3 √ 2 ) (c) ( 1 4 , 1 √ 2 ) (d) ( 1 , √ 2 )

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 3 sqrt 2 , then which of the following is (are) the coordinates of P?

Let RS be the diameter of the circle x^2+y^2=1, where S is the point (1,0) Let P be a variable apoint (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q.The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. then the locus of E passes through the point(s)- (A) (1/3,1/sqrt3) (B) (1/4,1/2) (C) (1/3,-1/sqrt3) (D) (1/4,-1/2)

Let RS be the diameter of the circle x^2+y^2=1, where S is the point (1,0) Let P be a variable apoint (other than R and S ) on the circle and tangents to the circle at S and P meet at the point Q.The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. then the locus of E passes through the point(s)- (A) (1/3,1/sqrt3) (B) (1/4,1/2) (C) (1/3,-1/sqrt3) (D) (1/4,-1/2)

A point P moves such that the chord of contact of P with respect to the circle x^(2)+y^(2)=4 passes through the point (1, 1). The coordinates of P when it is nearest to the origin are

A point P moves such that the chord of contact of P with respect to the circle x^(2)+y^(2)=4 passes through the point (1, 1). The coordinates of P when it is nearest to the origin are

If C_1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair of tangents on C_1, where P is any point on the director circle of C_1, then the radius of the smallest circle which touches c_1 externally and also the two tangents P A and P B is (a) 2sqrt(3)-3 (b) 2sqrt(2)-1 2sqrt(2)-1 (d) 1