Circle L1

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 (a) Ellipse (b) Hyperbola (c) Parabola (d) Parts of straight line

The lengths of the tungents from the points A and B to the circle are l_(1) and l_(2) respectively. If A and are conjugate points, then AB^(2)=

If z lies on the circle I z l = 1, then 2/z lies on

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 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)=

If l, l_(1), l_(2) and l _(3) be respectively the radii of the in-circle and the three escribed circles of a Delta ABC, then find l_(1)l_(2) l_(3)-l(l_(1)l_(2) +l_(2) l_(3)+l_(1) l_(3)).

If l, l_(1), l_(2) and l _(3) be respectively the radii of the in-circle and the three escribed circles of a Delta ABC, then find l_(1)l_(2) l_(3)-l(l_(1)l_(2) +l_(2) l_(3)+l_(1) l_(3)).

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)

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)

Consider: L_1:2x+3y+p-3=0 L_2:2x+3y+p+3=0 where p is a real number and C : x^2+y^2+6x-10 y+30=0 Statement 1 : If line L_1 is a chord of circle C , then line L_2 is not always a diameter of circle Cdot Statement 2 : If line L_1 is a a diameter of circle C , then line L_2 is not a chord of circle Cdot