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

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

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

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 centre and radius of circles. x^(2)+y^(2)-4x-8y-45=0 .

The tangents to the parabola y^2=4x at the points (1, 2) and (4,4) meet on which of the following lines?

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. The radius of the circle is

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.