The extremities of a diameter of a circle have coordinates A(-4,3) and B(12,-1). Show that the length of its intercept on Y-axis is `4sqrt(13)`.

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

There are 2 circles passing through points A(-1, 2) and B(2, 3) having radius sqrt(5) . Then the length of intercept on axis of the circle intersecting x-axis is :

The equation of a circle touching x-axis at (-4, 0) and cutting off an intercept of 6 units on y-axis can be

Find the equation of the circle whose diameter is the line segment joining (-4,3) and (12,-1). Find also the intercept made by it on y-axis.

If (1,2) (2,a) are extremities of a diameter of the circle x^(2)+y^(2)_3x-4y+6=0 then a=

The coordinates of one end point of a diameter of a circle are (4,-1) and the coordinates of the centre of the circle are (1,-3) . Find the coordinates of the other end of the diameter.

Find the equation of a line passes through (3,4) and the ratio of its intercepts on X and Y -axis is 3 : 2 .

Find the equation of the perpendicular to the segment joining (4,3) and (-1,1) if it cuts off and intercept -3 from y-axis.

The y-intercept of the line through the two points whose coordinates are (5,-2) and (1,3) is