Why we need rotation for Removal of term `xy` from `F(x, y) = ax^2 + 2 h xy + b y^2`

Why we need rotation for Removal of term xy from F(x,y)=ax^(2)+2hxy+by^(2)

Find the angle through which the axes be rotated to remove the xy term from the equations ax^(2) + 2hxy + ay^(2) = 0

Find the angle of rotation to eliminate xy term in the equation x^(2) + 2 sqrt(3) xy - y^(2) = 18

The angle of rotation of axes to remove xy term in the equation x^(2) + 4xy + y^(2) - 2x + 2y -6=0 is

The angle of rotation of axes to remove xy term in the equation x^(2) + 4xy + y^(2) - 2x + 2y -6=0 is

Find the angle through which the axes be rotated to remove the xy term from the equations x^(2) + 4xy + y^(2) - 2x + 2y - 6 = 0

Prove that the angle of rotation of the axes to eliminate xy term from the equation ax^2+2hxy+by^2=0" is " Tan^(-1)((2h)/(a-b)) where a neb and (pi)/(4) if a=b .

The angle of rotation of axes to remove xy terms in the equation 3x^(2) - 2 sqrt(3) xy + 9y^(2) = 10 is