A line is PQ of length 5 m is drawn. With P as a centre of circle of radius 6m is drawn and with Q as centre a circle of radius 13 m is drawn. Where do both the circles intersect?

Closer to P

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Closer to Q

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Equidistant from P and Q

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None of these

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Solution

The correct option is D
None of these

The circles will never meet.
In the figure, inner circle is of radius 6 cm with center P and the outer circle is of radius 13 cm with centre Q.
Alternate solution :
The two circles will not meet .It describes the procedure for construction of a triangle and in a triangle, the difference between the sides of a triangle should be less than the third side which is not happening here $13 - 6 > 5$ .

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