Let \( p \) and \( q \) be non-zero real numbers. Then the equation \( \left(p x^{2}+q y^{2}+r\r...

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Let \( p \) and \( q \) be non-zero real numbers. Then the equation \( \left(p x^{2}+q y^{2}+r\right)\left(4 x^{2}+4 y^{2}-8 x-4\right)=0 \) represents:
(a) Two straight lines and a circle, when \( r=0 \) and \( p, q \) are of the opposite sign.
(b) Two circles, when \( p=q \) and \( r \) is of sign opposite to that of \( p \).
(c) A hyperbola and a circle, when \( p \) and \( q \) are of opposite sign and \( r \neq 0 \).
(d) A circle and an ellipse, when \( p \) and \( q \) are unequal but of same sign and \( r \) is of sign opposite to that of \( p \).
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