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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:
D
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