If \( (a, 0) \) is a point on a diameter of the circle \( x^{2}+y^{...

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If \( (a, 0) \) is a point on a diameter of the circle \( x^{2}+y^{2}=4 \), then \( x^{2}-4 x-a^{2}=0 \) must have:
(a) exactly one real root in \( \left[-\frac{9}{10}, \frac{1}{10}\right] \)
\( \mathrm{P} \)
W.
(b) exactly one real root in \( \left[4, \frac{49}{10}\right] \)
(c) exactly one real root in \( [0,2] \)
(d) two distinct real roots in \( [-1,5] \)
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