The number of the common tangent to the concentric circles is zero. Option D is correct.
Two concentric circles are given in the figure, and common tangents to the circles are to be determined.
What is a circle?
The circle is the locus of a point whose distance from a fixed point is constant i.e center ( h, k ). The equation of the circle is given by[tex](x-h)^2 + (y-k)^ = r^2[/tex]. where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Since the line passes through the circumference of the circle is known as a tangent to the circle and the common tangent of the concentric circle is not possible because the tangent to the inner circle results secant to the outer circle.
Thus, the number of the common tangent to the circles is zero. Option D is correct.
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