Class/Course - Engineering Entrance

Subject - Mathematics

Chapter - Three Dimensional Geometry


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Q.1 Two systems of rectangular axes have the same origin. If a plane cuts them at distance a,b,c and a',b', c' from the origin, then
  $\frac{1}{a^{2}} + \frac{1}{b^{2}} + \frac{1}{c^{2}} + \frac{1}{a'^{2}} + \frac{1}{b'^{2}} + \frac{1}{c'^{2}}$ = 0
  $\frac{1}{a^{2}} + \frac{1}{b^{2}} - \frac{1}{c^{2}} + \frac{1}{a'^{2}} + \frac{1}{b'^{2}} - \frac{1}{c'^{2}}$ = 0
  $\frac{1}{a^{2}} - \frac{1}{b^{2}} - \frac{1}{c^{2}} + \frac{1}{a'^{2}} - \frac{1}{b'^{2}} - \frac{1}{c'^{2}}$ = 0
  $\frac{1}{a^{2}} + \frac{1}{b^{2}} + \frac{1}{c^{2}} - \frac{1}{a'^{2}} - \frac{1}{b'^{2}} - \frac{1}{c'^{2}}$ = 0