One of the diameter of a circle circumscribing the rectangle ABCD is `4y = x + 7`, If A and B are the points `(-3, 4)` and `(5, 4)` respectively, then the area of rectangle is

Column I|Column II The length of the common chord of two circles of radii 3 units and 4 units which intersect orthogonally is k/5 . Then k is equal to|p. 1 The circumference of the circle x^2+y^2+4x+12 y+p=0 is bisected by the circle x^2+y^2-2x+8y-q=0. Then p+q is equal to|q. 24 The number of distinct chords of the circle 2x(x-sqrt(2))+y(2y-1)=0 , where the chords are passing through the point (sqrt(2),1/2) and are bisected on the x-axis, is|r. 32 One of the diameters of the circle circumscribing the rectangle A B C D is 4y=x+7. If Aa n dB are the poinst (-3,4) and (5, 4), respectively, then the area of the rectangle is|s. 36

One of the diameters of the circle circumscribing the rectangle ABCD is 4y=x+y . If A and B are the points (-3, 4) and (5, 4) respectively, find the area of the rectangle and equation of the circle.

One of the diameters of circle circumscribing the rectangle ABCD is 4y=x+7 . If A and B are the points (-3,4) and (5,4) respectively and area of rectangle is p then p/4 is equal to

2x-y+4=0 is a diameter of a circle which circumscribes a rectangle ABCD. If the coordinates of A, B are (4, 6) and (1, 9) respectively, find the area of this rectangle ABCD.

A rectangle A B C D is inscribed in a circle with a diameter lying along the line 3y=x+10. If A and B are the points (-6,7)a n d(4,7) respectively, find the area of the rectangle and equation of the circle.

Find the equation of the circle circumscribing the rectangle whose sides are : x=4, x=-5, y=5, y=-3

Find the equation of the circle circumscribing the rectangle whose sides are : x=6, x = -3, y=3, y=-1

Prove that the centre of the circle circumscribing the cyclic rectangle A B C D is the point of intersection of its diagonals.

A rectangle is inscribed in a circle with a diameter lying along the line 3y = x + 7. If the two adjacent vertices of the rectangle are (– 8, 5) and (6, 5), then the area of the rectangle (in sq. units) is

The equation of one side of a rectangle is 3x-4y -10=0 and the coordinates of two of its vertices are (-2,1) and (2, 4) . Then, the area of the rectangle is