If `x+3y=0` is a tangent to the circle with centre at (-1,2) then show that the other tangent to the circle from the origin is `3x-y=0`

If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find the equation of the other tangent to the circle from the origin.

If y=3x is a tangent to a circle with centre (1,1) then the other tangent drawn through (0,0) to the circle is

The equation of a tangent to the circle with centre (2, -1) is 3x + y = 0 . Twice of the square of the length of the tangent to the circle from the point (23, 17) is __________ .

If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then the centre of one such circle is

A circle with center (a , b) passes through the origin. The equation of the tangent to the circle at the origin is (a) a x-b y=0 (b) a x+b y=0 b x-a y=0 (d) b x+a y=0

If y= 3x+c is a tangent to the circle x^2+y^2-2x-4y-5=0 , then c is equal to :

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

Show that 3x - 4y - 11 = 0 is a tangent to the circle x^(2) + y^(2) - 8y + 15 = 0 and find the equation of the other tangent which is parallel to the st. line 3x = 4y.

Find the equation of the circle centre C(1,2) and tangent x+y-5 =0

If y = mx + c is a tangent to the circle (x – 3)^2 + y^2 = 1 and also the perpendicular to the tangent to the circle x^2 + y^2 = 1 at (1/sqrt(2),1/sqrt(2)) , then