Two circles touch each other externally at a point A and a stright line touches the circles at the points B and C. Prove that `angle BAC` is a right angle.

Two circles intersect each other at P externally. The straight QR touches the circle at two points Q and R. Prove that /_QPR = 1 right angle.

Two circles touch each other externally at the point C. AB is a common tangent to both the circels and touches the circle at the points A and B. Then the value of angle ABC is [GP-X]

Two circles touch each other externally at point A and PQ is a direct common tangent which touches the circles at P and Q respectively. Then anglePAQ =

Two circles touch each other extenally at the point A. A common tangent drawn to two circles at the point A is a "______" common tangent. (direct/ transverse)

Two circles touch each other at the point R. PQ is a common tangent to both the circle which touches the circle at the points P and Q. Then anglePRQ=

Two circles touch each other externally at P. AB is a direct common tangent to the circles, A and B are point of contact and anglePAB =35^@ . Then angleABP is___

Each of the two equal circles passes through the centre of the other and the two circles intersect each other at the points. A and B.If a straight ine through the point A intersects the two circles at points C and D prove that Delta BCD is an equilateral triangle.

Two circles intersect each other at the points P and Q. Two straight lines through P and Q intersect on circle at the points A and C and the other circle at B and D . Prove that AC||BD.

Two equal circles touches each other externally at a point C and a line segment ACB has drawn through C upto the circumference of the circle. Prove that AC=BC.