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

The length and breadth of a rectangle are (5.7 pm 0.1) cm and (3.4 pm 0.2) cm respectively. Calculate the area of the rectangle with error limits.

ABCD is a rectangle and P,R and S are the mid - points of the AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

If one of the diameters of the circle, given by the equation, x^2+y^2-4x+6y-12=0 , is a chord of a circle S, whose centre is at (-3,""2) , then the radius of S is : (1) 5sqrt(2) (2) 5sqrt(3) (3) 5 (4) 10

. Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that the tangents at the points B(1,7) and D(4,-2) on the circle meet at the point C. Find the area of the quadrilateral ABCD

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When x = 8cm and y = 6cm, find the rates of change of (a) the perimeter, and (b) the area of the rectangle.

The equation of radical axis of two circles is x + y = 1 . One of the circles has the ends ofa diameter at the points (1, -3) and (4, 1) and the other passes through the point (1, 2).Find the equating of these circles.

The circle x^2 + y^2 - 3x - 4y + 2 = 0 cuts the x axis at the points

Two sides of a rectangle are 3x+4y+5=0, 4x-3y+15=0 and one of its vertices is (0, 0). The area of rectangle is ___.