ADNAN MUHAMMED

Grade 12,

i just wana know proof of angle of intersection of two circle in cordinate geometry ..........interms of cosine angle

i  just wana know  proof of angle of intersection of two circle


in cordinate geometry ..........interms of cosine angle

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1 Answers

vikas askiitian expert
509 Points
13 years ago

at first find the point of intersection of curves....let it be A..

 now make a tangent to the curve separately at this point ...

there will be 2 tangents with different slopes...let slope of tangents are

m1,m2 respectively...

then we have

                     tan@=m2-m1/1+m1m2

  @ is the angle bw tangents and it is called angle of intersection of two curves.....

   sec2@ =(1+tan2 @)

     from here calculate cos@

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