The equation `4xy-3x^(2)=a^(2)` become when the axes are turned through an angle `tan^(-1)2` is

Find the transformed equation of x^(2)+2sqrt3 xy-y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0).

Find the transformed equation of 3x^(2)+10xy +3y^(2) = 9 when the axes are rotated through an angle pi/4

The transformed equation of x^(2)+6xy+8y^(2)=10 when the axes are rotated through an angled pi//4 is

What does the equation (x-a)^2+(y-b)^2=r^2 become when the axes are transferred to parallel axes through the pint (a-c ,\ b)?

The transformed equation of 3x^(2)+3y^(2)+2xy-2=0 when the coordinats axes are rotated through an angle of 45^(@) , is

If the transferred equation of a curve is x^(2) + 2sqrt(3)xy - y^(2) = 2a^(2) when the axes are rotated through an angle 60^(@) , then the original equation of the curve is

If the transformed equation of a curve is 17x^(2) - 16xy + 17y^(2)=225 when the axes are rotated through an angle 45^(@) , then the original equation of the curve is

If the transformed equation of a curve is 17x^(2) - 16xy + 17y^(2)=225 when the axes are rotated through an angle 45^(@) , then the original equation of the curve is

The equation x^(2)+4xy+4y^(2)-3x-6y-4=0 represents a

If the transformed equation of curve is X^(2)+Y^(2)=4 when the axes are translated to the point (-1,2) then find the original equation of the curve.