The extermities of a diagonal of a rectangle are `(-4, 4) and (6, -1)`. A circle circumscribes the rectangle and cuts an intercept AB on the y-axis.Find the area of the triangle formed by AB and the tangents to the circle at `A and B`.

The extremities of a diagonal of a rectangle are (-4, 4) and (6, -1) . A circle circumscribes the rectangle and cuts an intercept AB on the y-axis. If Delta be the area of the triangle formed by AB and the tangents to the circle at A and B , then 8Delta = .

The extremities of the diagonal of a rectangle are (-4, 4) and (6,-1) . A circle circumscribes the rectangle and cuts inercept of length AB on the y -axis. The length of AB is

The extremities of a diagonal of a rectangle are (0,0) and (4,3). The equation of tangents to the circumcircle of the rectangle which are parallel to the diagonal are

Extremities of a diagonal of a rectangle are (0, 0) and (4, 3). The equations of the tangents to the circumcircle of the rectangle which are parallel to the diagonal, are

A circle touches x-axis at (2, 0) and has an intercept of 4 units on the y-axis. Find its equation.

Using integration, find the area of the triangle formed by positive x-axis and tangent and normal to the circle x^(2) + y^(2) =4 at ( 1, sqrt3) .

A rectangle in inscribed in a circle of radius 5 cm. if the breadth of the rectangle is 6 cm. then find the length of the rectangle.

In rectangle ABCD, the distance between B and D is 10. What is the area of the circle inside the rectangle, if the circle is tangent to both AD and BC?

Find the locus of center of circle of radius 2 units, if intercept cut on the x-axis is twice of intercept cut on the y-axis by the circle.

The area of the triangle formed by the positive x-axis with the normal and the tangent to the circle x^2 +y^2=4 at (1, sqrt(3)) is