If `x^(2)+y^(2)=a^(2) and (x^(2))/(16)+(y^(2))/(9)=1` intersect at 4 points P, Q, R and S which form a square, then the area (in sq. units) of the square is

If the common tangets of x^(2)+y^(2)=r^(2) and (x^(2))/(16)+(y^(2))/(9)=1 form a square, then the area (in sq. units) of the square is

If the common tangets of x^(2)+y^(2)=r^(2) and (x^(2))/(16)+(y^(2))/(9)=1 form a square, then the area (in sq. units) of the square is

If the circles (x-3)^(2)+(y-4)^(4)=16 and (x-7)^(2)+y-7)^(2)=9 intersect at points A and B, then the area (in sq. units) of the quadrilateral C_(1)AC_(2)B is equal to (where, C_(1) and C_(2) are centres of the given circles)

If the tangent at any point on the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 intersects the coordinate axes at P and Q , then the minimum value of the area (in square unit ) of the triangle OPQ is (O being the origin )-

The common tangents to the circle x^2=y^2=2 and the parabola y^(2)=8x touch the circle at the points P,Q and the parabola at the points R,S. Then, the area (in sq units) of the quadrilateral PQRS is

Curves C_1:x^(2)+y^(2)=r^(2) and C_2:x^(2)/16+y^(2)/9=1 intersect at four distinct points A,B,C and D. Their common tangents from a parallelogram PQRS. Q. If ABCD is square, then the value of 25r^(2) is

If common tangents of x^(2) + y^(2) = r^(2) and (x^2)/16 + (y^2)/(9) = 1 forms a square, then the length of diagonal of the square is

If common tangents of x^(2) + y^(2) = r^(2) and (x^2)/16 + (y^2)/(9) = 1 forms a square, then the length of diagonal of the square is

Let C_(1) and C_(2) be the circles x^(2) + y^(2) - 2x - 2y - 2 = 0 and x^(2) + y^(2) - 6x - 6y + 14 = 0 respectively. If P and Q are points of intersection of these circles, then the area (in sq. units ) of the quadrilateral PC_(1) QC_(2) is :