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Two system of rectangular axes have the ...

Two system 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:

A

`(1)/(a^(2))+(1)/(b^(2))-(1)/(c^(2))+(1)/(a'^(2))+(1)/(b'^(2))-(1)/(c'^(2))=0`

B

`(1)/(a^(2))-(1)/(b^(2))-(1)/(c^(2))+(1)/(a'^(2))-(1)/(b'^(2))-(1)/(c'^(2))=0`

C

`(1)/(a^(2))+(1)/(b^(2))+(1)/(c^(2))-(1)/(a'^(2))-(1)/(b'^(2))-(1)/(c'^(2))=0`

D

`(1)/(a^(2))+(1)/(b^(2))+(1)/(c^(2))+(1)/(a'^(2))+(1)/(b'^(2))+(1)/(c'^(2))=0`

Text Solution

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The correct Answer is:
C
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