[" 9.When the axes are rotated through an angle "(pi)/(6)" ,find the transformed equation of "],[x^(2)+2sqrt(3)xy-y^(2)=2a^(2)]

When the axes are rotated through an angle pi//6 . Find the transformed equation of x^2+2sqrt3xy-y^2=2a^2 .

When the axes rotated through an angegle (pi)/(4) , find the transformed equation of 3x^2+10xy+3y^2=9 .

If the axes are rotated through an angle 30^(0) about the origin then the transformed equation of x^(2) + 2 sqrt(3) xy - y^(2) = 2a^(2) is

When the origin is shifted to (-2,-3) and the axes are rotated through an angle 45^(0) , find the transformed equation of 2x^(2)+4xy-5y^(2)+20x-22y-14 = 0 .

If the corrdinate axes are rotated through an angle (pi)/(6) about the origin, then the transformed equation of sqrt(3)x^(2) - 4xy + sqrt(3)y^(2) = 0 is

If the coordinate axes are rotated through an angle (pi)/(6) about the origin, then transformed equation of sqrt(3)x^2-4xy+sqrt(3)y^2=0 is