IF FROM ANY POINT ON THE COMMON CHORD OF TWO INTERSECTING CIRCLES,TANGENTS BE DRAWN TO THE CIRCLES PROVE THAT THEY ARE CONGRUENT.....

Ref.10th R.D. Sharma cbse mathematics book, lesson 11(circles), exercise 11.2 question no.3

plz ans..

#### Answers

repeated posting wont yield answer!! :D

**Let PT be a tangent to the circle from an exterior point P and a secant to the circle through P intersects the circle at points A and B where T is a point on the circle, then PT**First of all I will prove this and use it to prove your question.

^{2}= PA.PB.^{2}+ PT

^{2}= OP

^{2}

*r*

^{2}+ PT

^{2}=

*r*

^{2}+ PA.PB [using (2)]

^{2}= PA.PB … (3)

^{2}= AX.AY and AN

^{2}= AX.AY

^{2}= AN

^{2}

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thank u sir........ i posted this question many times but none of the students could answer it correctly............. either they were confused or regarded it as a wrong ques. or used AXY as a tangent........... once again thank u very much sir........

thank u sir........ i posted this question many times but none of the students could answer it correctly............. either they were confused or regarded it as a wrong ques. or used AXY as a tangent........... once again thank u very much sir........

thumbs up from me..............