In the given figure, two circles touch each other externally at point

1.	In the given figure, two circles touch each other externally at point P. AB is the direct common tangent of these circles. Prove that : (i) tangent at point P bisects AB, (ii) angle APB= 90∘.
Answer» In the given figure, two circles touch each other externally at point $P$ . $A B$ is the direct common tangent of these circles. Prove that : (i) tangent at point $P$ bisects $A B$ , (ii) angle $A P B =$ $90^{\circ}$ .

In the given figure, two circles touch each other externally at point P. AB is the direct common tangent of these circles. Prove that : (i) tangent at point P bisects AB, (ii) angle APB= 90∘.

Answer»

In the given figure, two circles touch each other externally at point $P$ . $A B$ is the direct common tangent of these circles. Prove that :

(i) tangent at point $P$ bisects $A B$ ,

(ii) angle $A P B =$ $90^{\circ}$ .

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In the given figure, two circles touch each other externally at point P. AB is the direct common tangent of these circles. Prove that : (i) tangent at point P bisects AB, (ii) angle APB= 90∘.

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