z^(2)-2x-8

The transformed eqution of x^(2)+y^(2)+z^(2)-6x-8y+2z+24 = 0 when the axes are transtated to the point (3,4,-1) is

In order to eliminate the first degree terms in the equation 2x^(2)-2y^(2)+z^(2)-4x+8y+2z-5=0 the origin should be shifted to the point

The point to which the axes should be translated to eliminate first degree terms in the equation 2x^(2)-2y^(2)+z^(2)-4x+8y+2z-5=0 is

The point of translation to remove the first degree terms from the equation 5x^(2)-2y^(2)+z^(2)-10x-8y-16z-7=0 is

If the radius of the sphere x^2+y^2+z^2-6x-8y+10z+lambda=0 is unity, what is the value of lambda ?

If the radius of the sphere x^2+y^2+z^2-6x-8y+10z+lambda=0 is unity. What is the value of lambda ?

lim_(xto0)(x(z^(2)-(z-x)^(2))^(1//3))/([(8 x z -4x^(2))^(1//3)+(8x z)^(1//3)]^(4)) is