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Q:- The coplanar points A,B,C,D are (2-x,2,2) , (2,2-y,2) ,(2,2,2-z) and (1,1,1) respectively. Then A. 1/x+1/y+1/z =1 B. x+y+z=1 C. 1/(1-x) +1/(1-y) +1/(1-z) =1 D. None of these

Q:- The coplanar points A,B,C,D are (2-x,2,2) , (2,2-y,2) ,(2,2,2-z) and (1,1,1) respectively. Then


A. 1/x+1/y+1/z =1


B. x+y+z=1


C. 1/(1-x) +1/(1-y) +1/(1-z) =1


D. None of these

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear Tapasranjan

this question can be solved easly by using equation of pane passing through 3 points in determinant form

use determinant form of plane passing trough ((2-x,2,2) , (2,2-y,2) ,(2,2,2-z)

and this plane also passes through (1,1,1) so it will satisfy this point also

put it and simplify


7105-489_7662_untitled.JPG

now open determenant

1/x  + 1/y  + 1/z =1

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