A plane cutting the axes in \( P, Q, R \) passes through \( (\alpha-\beta, \beta-\gamma, \gamma-... VIDEO
A plane cutting the axes in \( P, Q, R \) passes through \( (\alpha-\beta, \beta-\gamma, \gamma-\alpha) \). If \( O \) is origin, then locus of centre of sphere \( O P Q R \) is
(a) \( \alpha x+\beta y+\gamma z=4 \)
(b) \( (\alpha-\beta) x+(\beta-\gamma) y+(\gamma-\alpha) z=0 \)
(c) \( (\alpha-\beta) y z+(\beta-\gamma) z x+(\gamma-\alpha) x y=2 x y z \)
(d) \( \left(\frac{1}{\alpha^{2}}+\frac{1}{\beta^{2}}+\frac{1}{\gamma^{2}}\right)\left(x^{2}+y^{2}+z^{2}\right)=x y z \)
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\[
\begin{array}{l}
L_{1}:...