1.

Consider the family of planes x +y+z=c where c is is a parameter intersecting the coordinate axes at P,Q and R 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?

Answer»

Each member of this family is equally inclined with coordinate axes
`sin ^(2) alpha + sin ^(2) beta + sin ^(2) gamma =1`
`cos ^(2) alpha + cos ^(2) beta + cos ^(2) gamma =2`
For `c=3` area of the `Delta PQR` is `3sqrt3` sq units

ANSWER :A::B::C


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