If `x=rs inthetacosvarphi,y=r s inthetasinvarphia n dz=rcostheta,t h e nx^2+y^2+z^2` is independent of `theta,varphi` (b) `r ,theta` (c) `r ,varphi` (d) r

If x=r sin theta cos phi,y=r sin theta sin phi and z=r cos theta,thenx^(2)+y^(2)+ is independent of theta,phi(b)r,theta(c)r,phi(d)r

If x=r sinthetacosphi, y =r sin thetasinphiandz=rcostheta , then x^(2)+y^(2)+x^(2) is independent of which of following ?

If x=r cos theta,y=r sin theta, show that

If x = rsin theta*cos phi , y = rsin theta*sin phi and z = rcos theta then prove that x^2 + y^2 + z^2 = r^2

If x = r cos theta, y = r sin theta, r =a(1+cos theta) then find (dy)/(dx)

If =|s inthetacosvarphisinthetas invarphicosthetacosthetacosvarphicosthetas invarphi-s intheta-s inthetas invarphis inthetacosvarphi0| then is independent of theta is independent of varphi "Delta" is a constant ((d"Delta")/(dtheta)])_(theta=pi//2)=0

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 determinant |"cos"(theta+varphi)-"sin"(theta+varphi)cos2varphis inthetacosthetas invarphi-costhetas inthetacosvarphi| is a. positive b. independent of q c. independent of varphi d. none of these

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 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)