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Consider the family of planes x+y+z=c wh...

Consider the family of planes `x+y+z=c` where c is a parameter intersecting the coordinate axes P, Q andR and `alpha, beta and gamma` are the angles made by each member of this family with positive x, y and z-axes. Which of the following interpretations hold good got this family?

A

Each member of this family is equally inclined with coordinate axes

B

`sin ^(2) alpha + sin ^(2) beta + sin ^(2) gamma =1`

C

`cos ^(2) alpha + cos ^(2) beta + cos ^(2) gamma =2`

D

For `c=3` area of the `Delta PQR` is `3sqrt3` sq units

Text Solution

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The correct Answer is:
A, B, C
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-2
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