Consider the circle `x^2 + y^2 = 9` and the parabola `y^2 = 8x`. They intersect at P and Q in first and 4th quadrant,respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents at the parabola at P and Q intersect the x-axis at S.

Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x . They intersect at P and Q in first and fourth quadrant respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents at the parabola at P and Q intersect the x-axis at S. The radius of the circumcircle of the triangle PRS is-

Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x . They intersect at P and Q in first and fourth quadrant respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents at the parabola at P and Q intersect the x-axis at S.

Consider the circle x^2+y^2=9 and the parabola y^2=8x . They intersect at P and Q in the first and fourth quadrants, respectively. Tangents to the circle at P and Q intersect the X-axis at R and tangents to the parabola at P and Q intersect the X-axis at S. The ratio of the areas of trianglePQS" and "trianglePQR is

Consider the ellipse x^2/9+y^2/4=1 and the parabola y^2 = 2x. They intersect at P and Q In the first andfourth quadrants respectively. Tangents to the ellipse at P and Q intersect the x-axis at R and tangents to the parabola at P and Q intersect the x-axis at S The ratio of the areas of the triangles PQS and PQR, is

Consider the ellipse x^2/9+y^2/4=1 and the parabola y^2 = 2x They intersect at P and Q in the first andfourth quadrants respectively. Tangents to the ellipse at P and Q intersect the x-axis at R and tangents tothe parabola at P and Q intersect the x-axis at S.The ratio of the areas of the triangles PQS and PQR, is

Consider the curves C_(1):|z-2|=2+Re(z) and C_(2):|z|=3 (where z=x+iy,x,y in R and i=sqrt(-1) .They intersect at P and Q in the first and fourth quadrants respectively.Tangents to C_(1) at P and Q intersect the x- axis at R and tangents to C_(2) at P and Q intersect the x -axis at S .If the area of Delta QRS is lambda sqrt(2) ,then find the value of (lambda)/(2)

The circle x^2 + y^2 - 2x - 6y+2=0 intersects the parabola y^2 = 8x orthogonally at the point P . The equation of the tangent to the parabola at P can be

The point of intersection of the circle x^(2) + y^(2) = 8x and the parabola y^(2) = 4x which lies in the first quadrant is

The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = 8x touch the circle at P,Q andthe parabola at R,S . Then area of quadrilateral PQRS is