Obtain the new equations of the following loci if the origin is shifted to the point `O'(2,2)`,the direction of axes remaining the same:`x^2+y^2-3x=7`

Obtain the new equations of the following loci if the origin is shifted to the point O'(2,2) ,the direction of axes remaining the same: 3x-y+2=0

Obtain the new equations of the following loci if the origin is shifted to the point O'(2,2) ,the direction of axes remaining the same: y^2-4x-4y+12=0

Obtain the new equations of the following loci if the origin is shifted to the point O'(2,2) ,the direction of axes remaining the same: xy-2x-2y+4=0

Solve the following:Obtain the new equation of the locus x^2-xy-2y^2-x+4y+2=0 ,when the origin is shifted to (2,3),the directions of the axes remaining the same.

If the origin is shifted to the point (2,-3) the axes remaining parallel,find the new co-ordinates of the points. (2,-7)

If the origin is shifted to the point (2,-3) the axes remaining parallel,find the new co-ordinates of the points. (5,2)