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Question

The number of common tangents to the circles x2+y2=4 and x2+y26x8y=24 is


  1. 0

  2. 1

  3. 4

  4. 3


Solution

The correct option is B

1


The centres of the two circles are C1(0,0), C2(3,4) and their radii r1=2,r2=7 respectively.

We have C1C2=5=r2r1

 The two circles touch internally.   one tangent is possible

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