MCQ
Two systems of rectangular axes have the same origin. If a plane cuts them at distances $a, b, c$ and $a^{\prime}, b^{\prime}, c^{\prime}$ from the origin, then
- ✓$\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c^2}-\frac{1}{a^{\prime 2}}-\frac{1}{b^{\prime 2}}-\frac{1}{c^{\prime 2}}=0$
- B$\frac{1}{ a ^2}+\frac{1}{b^2}+\frac{1}{ c ^2}+\frac{1}{ a ^{\prime 2}}+\frac{1}{b^{\prime 2}}+\frac{1}{ c ^{\prime 2}}=0$
- C$\frac{1}{a^2}+\frac{1}{b^2}-\frac{1}{c^2}+\frac{1}{a^{\prime 2}}+\frac{1}{b^{\prime 2}}-\frac{1}{c^{\prime 2}}=0$
- D$\frac{1}{ a ^2}-\frac{1}{b^2}-\frac{1}{ c ^2}+\frac{1}{ a ^{\prime 2}}-\frac{1}{b^{\prime 2}}-\frac{1}{ c ^{\prime 2}}=0$