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Find the coordinates of the point at which the circles `x^2+y^2-4x-2y+4=0` and `x^2+y^2-12 x-8y+36=0` touch each other. Also, find equations of common tangents touching the circles the distinct points.

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The correct Answer is:
`y =0` and `7y - 24x +16 =0`
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VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
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  3. Find the coordinates of the point at which the circles x^2+y^2-4x-2y+4...

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  4. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

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  7. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

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  15. The points of intersection of the line 4x-3y-10=0 and the circle x^2+y...

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