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Line \( L \) has intercepts \( a \) and \( b \) on the coordinate axes, when the axes are rotated through \( a \) given
\( \mathrm{P} \)
angle keeping the origin fixed, the same line has
W
intercepts \( p \) and \( q \), then
(1) \( a^{2}+b^{2}-p^{2}+q^{2} \)
(2) \( \frac{1}{a^{2}}+\frac{1}{b^{2}}=\frac{1}{p^{2}}+\frac{1}{q^{2}} \)
(3) \( a^{2}+p^{2}=b^{2}+q^{2} \)
(4) \( \frac{1}{a^{2}}+\frac{1}{p^{2}}=\frac{1}{b^{2}}+\frac{1}{q^{2}} \)
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