The lengths of the tangents from the points A and B to a circle are l_(1) and l_(2) respectively. If points are conjugate with respect to the circle, then AB^(2)=
The lines L_1: x-2y+6=0&L_2: x-2y-9=0 are tangents to the same circle. If the point of contact of L_1 with the circle is (-2,2), then: the centre of the circle is (-7/2,5) the centre of the circle is (-1/2,-1) area of the circle is (45pi)/4s qdotu n t i s the point of contact of L_2 with the circle has the co-ordinates (-5,8)
In the figure given,two circles with centres C_(1) and C_(2), are 35 units apart,i.e.C_(1)C_(2)=35 .The radii of the circles with centres C_(1) and C_(2), are 12 and 9 respectively.If P is the intersection of C_(1)C_(2, and a common ) internal tangent to the circles,then l(C_(1)P) equals
A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line, then the locus of centre of the circle is :
If a line, y = mx + c is a tangent to the circle, (x-1)^2 + y^2 =1 and it is perpendicular to a line L_1 , where L_1 is the tangent to the circle x^2 + y^2 = 8 at the point (2, 2), then :
Property 6 The family of circles circumscribing a triangle whose sides are L_(1);L_(2) and L_(3)=0