1.

In the given figure, PT is a common tangent to the circles touching externally at P and AB is another common tangent touching the circles at A and B. Prove that: [3 MARKS](i) T is the mid-point of AB (ii) ∠APB=90∘(iii) If X and Y are centers of the two circles, show that the circle on AB as diameter touches the line XY.

Answer»

In the given figure, PT is a common tangent to the circles touching externally at P and AB is another common tangent touching the circles at A and B. Prove that: [3 MARKS]



(i) T is the mid-point of AB



(ii) ∠APB=90∘



(iii) If X and Y are centers of the two circles, show that the circle on AB as diameter touches the line XY.


Discussion

No Comment Found

Related InterviewSolutions