Two intersecting circles have a common tangent or not?

Column I|Column II Two intersecting circle|p. have a common tangent Two mutually external circles|q. have a common normal Two circles, one strictly inside the other|r. do not have a common tangent Two branches of a hyperbola|s. do not have a common normal

Column I|Column II (a)Two intersecting circle| p. have a common tangent (b)Two mutually external circles| q. have a common normal (c)Two circles, one strictly inside the other| r. do not have a common tangent (d)Two branches of a hyperbola| s.do not have a common normal

In the given figure, MN is the common chord of two intersecting circles and AB is their common tangent. Prove that the line NM produced bisects AB at P.

Two circles of radii a and b(a

Two lines are intersecting if they have a common point; that common point is known as Point of Intersection.

If from any point on the common chord of two intersecting circles, tangents be drawn to the circles, prove that they are equal.

STATEMENT-1 : Let x^(2) + y^(2) = a^(2) and x^(2) + y^(2) - 6x - 8y -11 = 0 be two circles. If a = 5 then two common tangents are possible. and STATEMENT-2 : If two circles are intersecting then they have two common tangents.

STATEMENT-1 : Let x^(2) + y^(2) = a^(2) and x^(2) + y^(2) - 6x - 8y -11 = 0 be two circles. If a = 5 then two common tangents are possible. and STATEMENT-2 : If two circles are intersecting then they have two common tangents.

If from any point on the common chord of two intersecting circles,tangents be drawn to the circles,prove that they are equal.

The point of intersection of direct common tangents and transverse common tangents to two circles divide the line segmenta joining the two centres externally and internally respectively in the ratio of their radii.