Match the conditions/expressions A. Two intersecting circles B. Two mutually external circles C. Two circles, one strictly inside the other D. Two branches of a hyperbola

Two congruent intersecting circles.

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

Angle of intersection of two circles is given by :

Angle of intersection of two circle and orthogonal intersection of circles

Draw the tangent, if two circle intersecting in two points.

Two circles intersect each other at the points P and Q. A straight line passing through P intersects one circle at A the other circle at .A straight line passing through Q intersect the first circle at C and the second circle at D. Prove that AC||BD .

Circles A and B are externally tangent to each other and to line t. The sum of the radiloto each other and to line t. The sum of the radii of the two circlesis 12 and the radius of circle A is 3 times that of circle B. The area in between the two circles and external tangent, 't' is asqrt3-(bpi)/2 then find the value of a+b.

x=1 is the radical axis of the two orthogonally intersecting circles. If x^(2)+y^(2)=4 is one of the circles, then the other circle, is