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IIT JEE THREE DIMENSIONAL GEOMETRY Two systems of rectangular axes have the same origin. If a p...

611 views · Published 26 September 2017 · 5:40 · Indexed 22 September 2026

Channel: Doubtnut · 2017 · Education

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This is the Solution of question from Cengage Publication Math Book Vectors and 3d-Geometry Chapter 6 THREE DIMENSIONAL GEOMETRY written By G. Tewani. You can Find Solution of all math questions from CENGAGE BOOK on our app DOUBTNUT for free. Download Doubtnut from - https://doubtnut.app.link/OotEsu5WvR

Two systems of rectangular
 axes have the same origin. If a plane cuts them at distance `a ,b ,c`and 
` a^prime ,b^(prime),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`

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