The tangents drawn from the origin to the circle \( x^{2}+y^{2}-2 p x-2 q y+q^{2}=0 \) are perpe....

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The tangents drawn from the origin to the circle
\( \mathrm{P} \)
\( x^{2}+y^{2}-2 p x-2 q y+q^{2}=0 \) are perpendicular if
(1) \( p=q \)
(2) \( p^{2}=q^{2} \)
(3) \( q=-p \)
(4) \( p^{2}+q^{2}=1 \)


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