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Tangents are drawn from any point on the circle x^2+y^2=a^2 to the circle x^2+y^2=b^2. If the chord of contact touches the circle x^2+y^2=c^2, a>b, then

Option: 1

a, b, c are in A.P.

 


Option: 2

a, b, c are in G.P.


Option: 3

a, b, c are in H.P.


Option: 4

a, c, b are in G.P.


Answers (1)

best_answer

Chord of contact of any point (a \cos \theta, a \sin \theta) on  1^{\text {st }} circle with respect to  2^{\text {nd }} circle is a x \cos \theta+a y \sin \theta=b^2

\text { This chord touches the circle } x^2+y^2=c^2 \text {, }

\text { Hence, } \text { Radius }=\text { Perpendicular distance of chord from centre. }

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sudhir.kumar

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