Locus of the point `(r sec alpha cos beta,r sec alpha sin beta,r tan alpha)` is
(a). `x^(2)-y^(2)-z^(2)=r^(2)`
(b). `x^(2)-y^(2)+z^(2)=r^(2)`
(c). `x^(2)+y^(2)+z^(2)=r^(2)`
(d) . `x^(2)+y^(2)-z^(2)=r^(2)`

If x=r cos alpha cos beta,y=r cos alpha sin beta,z=r sin alpha then x^(2)+y^(2)+z^(2) =

If x=r sin theta cos varphi,y=r sin theta sin varphi and z=r cos theta, then x^(2)+y^(2)+z^(2)=r^(2)(b)x^(2)+y^(2)-z^(2)=r^(2)(c)x^(2)-y^(2)+z^(2)=r^(2)(d)z^(2)+y^(2)-x^(2)=r^(2)

If x=r sin alpha cos beta, y= r sin alpha sin beta and z= r cos alpha , prove that x^(2)+y^(2) + z^(2) = r^(2).

If x = r cos theta cos phi, y = r cos theta sin phiz = r sin theta, then x ^ (2) + y ^ (2) + z ^ (2) = (i) r ^ (2) (ii ) y ^ (2) (iii) x ^ (2) (iv) z ^ (2)

If x = r cos alpha cos beta cos gammay == r cos alpha cos beta sin gamma, z = r sin alpha cos betamu = r sin beta then x ^ (2) + y ^ (2) + z ^ (2) + mu ^ (2) =

If x=r sin A cos C,quad y=r sin A sin C and z=r cos A, prove that r^(2)=x^(2)+y^(2)+z^(2)

If x = sin alpha + sin beta, y = cos alpha + cos beta then tan alpha + tan beta = (1) (8xy) / (2 (y ^ 2-x ^ 2) + (x ^ 2 + y ^ 2 ) (x ^ 2 + y ^ 2-2)) (2) (4xy) / ((y ^ 2-x ^ 2) + (x ^ 2 + y ^ 2) (x ^ 2 + y ^ 2-2 )) (3) (8xy) / ((x ^ 2 + y ^ 2) (x ^ 2 + y ^ 2-2)) (4) 4xy