The origin shifted to (-5,3) then the equation `y^(2)-12x+6y+69=0` changes as `y^(2)=4ax` then a

Origin is shifted to (1,2) then the equation y^(2)-8x-4y+12-0 changes as y^(2)=4ax .Then a=

The origin is shifted to (1,2), the equation y^(2)-8x-4y+12=0 changes to Y^(2)+4aX=0 then a=

By shifting origin to (-1,2) the equation y^(2)+8x-4y+12=0 changes as Y^(2)=4aX then a=

Without change of axes the origin is shifted to (h, k), then from the equation x^(2)+y^(2)-4x+6y-7=0 , then therm containing linear powers are missing, then point (h, k) is

Without changing the direction of the axes, the origin is transferred to the point (2,3). Then the equation x^(2)+y^(2)-4x-6y+9=0 changes to

When the origin is shifted to (2,3) then the original equation of x^(2)+y^(2)+4x+6y+12=0 is

If by shifting the origin to (1,2) the equation of the parabola y^(2)-4y+8x-4=0 becomes y^(2)=4ax, then a equal to

When the origin is shifted to (h,k) ,then the equation (x)/(a)+(y)/(b)=2 is changed to (X)/(a)+(Y)/(b)=0, then (h)/(a)+(k)/(b)=