Analysis of two circles in circles

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Question

The number of common tangents of the circles $x^{2} + y^{2} - 2 x - 1 = 0 and x^{2} + y^{2} - 2 y - 7 = 0,$ is

Moderate

Solution

Since the difference of the radii of two circle- equal to the distance between their centres. Therefore, circles touch each other internally and so only one comrr c. tangent can be drawn to given two circles.

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