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in co-ordinate geometry 2 circles,touching each other internally or externally have a common tangent.if the ecquations of those circles are given then we can easily find the ecq. of that tangent by substracting those circles ecq.s,but i think it has no valid resons.that is the method to find out the ecq. of a common chord.then if the commopn tangent is the common chord of the circles which are touching each other internally or externally??????

in co-ordinate geometry 2 circles,touching each other internally or externally have a common tangent.if the ecquations of those circles are given then we can easily find the ecq. of that tangent by substracting those circles ecq.s,but i think it has no valid resons.that is the method to find out the ecq. of a common chord.then if the commopn tangent is the common chord of the circles which are touching each other internally or externally??????
 

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Grade:11

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
8 years ago
Hello student, this is the confusion of many students.

Equation of common chord and equation of tangent both are s1- s2 = 0 .But equation of commom chord is found out when the circles are intersecting which in case of tangents it is not necessary that the circles intersects.So you can use same equation at both the places

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