1.

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?

Answer»

Each member of this family is EQUALLY inclined withcoordinate axes.
`sin^2(alpha)+sin^2(gamma)+sin^2(BETA)=1`
`cos^2(alpha)+cos^2(beta)+cos^2(gamma)=2`
For c=3 AREA of the `trianglePQR is 3sqrt(3)` sq. units.

Answer :(a, b, c)


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