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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 for this family?

A

A. Each member of this family is equally inclined with coordinate axes.

B

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

C

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

D

D. For c=3 area of the `trianglePQR` is `3sqrt(3)` sq. units.

Text Solution

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The correct Answer is:
(a, b, c)
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