Question

Match the elements of list I with list II.

Answer 1

List II is same as List I

Thus $x^2+y^2+z^2-2x-4y+2Z-3=0$

Hence the centre of the given sphere is $(1,2,-1)$

Similarily $x^2+y^2-z^2+2x+4y+2Z+3=0$

$\therefore$ the $2x^2-3y^2+z^2+4x+6y-4Z-2=0$

hence $2x^2-2y^2+z^2-4x+8y-2Z-5=0$

$\therefore$ $2x^2-3y^2+z^2+4x+6y-4Z-2=0$

Finally $2x^2-3y^2+z^2+4x+6y-4Z-2=0$

We get centre of the given sphere is $(-1,1,2)$