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

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

At what points on the circle x^2+y^2-2x-4y+1=0 , the tangent is parallel to the x-axis.

Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthest and nearest to the point (-5,6)dot

At what point on the circle x^2+y^2-2x-4y+1=0, the tangent is parallel to x-axis.

To the circle x^(2)+y^(2)+8x-4y+4=0 tangent at the point theta=(pi)/4 is

From a point P on the normal y=x+c of the circle x^2+y^2-2x-4y+5-lambda^2-0, two tangents are drawn to the same circle touching it at point Ba n dC . If the area of quadrilateral O B P C (where O is the center of the circle) is 36 sq. units, find the possible values of lambdadot It is given that point P is at distance |lambda|(sqrt(2)-1) from the circle.

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4 . Then find the radius of the circle.

Find the equation of the two tangents from the point (0, 1 ) to the circle x^2 + y^2-2x + 4y = 0

The line 5x - y = 3 is a tangent to a circle at the point (2, 7) and its centre is on theline x + 2y = 19 . Find the equation of the circle.