The point to which origin is shifted in order to miss the first degree terms in `2x^(2)+5xy+3y^(2)+6x+7y+1=0`

The point to which the origin should be shifted in order to eliminate x and y terms in the equation x^(2)+3y^(2)-2x+12y+1=0 is

The point to which the origin should be shifted in order to remove the x and y terms in thee quation 14x^(2)-4xy+11y^(2)-36x+48y+41=0 is

The point to which (0,0) is to be shifted to eliminate x and y terms of the equation 2x^(2)+3y^(2)+8x+18y+10=0 is

Find the point at which origin is shifted such that the transformed equation of x^(2)+2y^(2)-4x+4y-2=0 has no first degree term. Also find the transformed equation .

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

(3,-4) is the point to which the origin is shifted and the transformed equation is X^(2)+Y^(2)=4 then the original equation is (A) x^(2)+y^(2)+6x+8y+21=0 (B) x^(2)+y^(2)+6x+8y-21,=0 (C) x^(2)+y^(2)-6x+8y+21=0 (D) x^(2)+y^(2)-6x-8y+21=0

Find what the following equations become when the origin is shifted to the point (1,1) ( i) x^(2)+xy-3y^(2)-y+2=0 (ii) xy-y^(2)-x+y=0 (iii) xy-x-y+1=0

The point of intersection of the lines 2x^(2)-5xy+3y^(2)+8x-9y+6=0 is