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Question

The number of common tangents of the circles x+22+y-22=49 and x-22+y+12=4 are


A

0

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B

1

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C

3

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D

4

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Solution

The correct option is B

1


Explanation for correct option

The given circle have centre at A-2,2,B2,-1

AB=2+22+-1-22=16+9=25=5=r1-r2

Where r1 is the radius of the circle with center at A and r2 is the radius of circle with center at B

Therefore, the given circle touch internally

Therefore there is only one common tangent

Hence, option(B) is correct


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