If `x=asecthetacosvarphi,\ \ y=bsecthetasinvarphi` and `z=ctantheta` , show that `(x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(c^2)=1`

If x=asecthetacosphi , y=secthetasinphiandz=ctantheta ,show that (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=1 .

If x=asecthetacosphi , y=secthetasinphiandz=ctantheta ,show that (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=1 .

If x=asec thetacosphi,y=bsec thetasin phi and z=ctantheta, show that, (x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(c^2)=1

If x=asecthetacosvarphi , y=bsecthetasinvarphi and z=ctantheta , then (x^2)/(a^2)+(y^2)/(b^2)= (a) (z^2)/(c^2) (b) 1-(z^2)/(c^2) (c) (z^2)/(c^2)-1 (d) 1+(z^2)/(c^2)

If x = a sec A cos B, y = b sec A sin B and z = c tan A, show that : (x^(2))/ (a^(2)) + (y^(2))/ (b^(2)) - (z^(2))/(c^(2)) = 1

Show that |(x+2a,y+2b,z+2c),(x,y,z),(a,b,c)|=0.

Show that {:|(x+2a,y+2b,z+2c),(x,y,z),(a,b,c)|:} =0

Show that |{:(x,y,z),(2x+2a,2y+2b,2z+2c),(a,b,c):}|=0

Show that |{:(x,y,z),(2x+2a,2y+2b,2z+2c),(a,b,c):}|=0

If a(y+z)=b(z+x)=c(x+y) then show that (a-b)/(x^(2)-y^(2))=(b-c)/(y^(2)-z^(2))=(c-a)/(z^(2)-x^(2))]