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

Find f(x, y) if f(x + 2y, 2x + y) = 2xy.

The angle through which the axes are to be rotated so as to remove the xy term in the equation ax^(2)+2hxy+by^(2)=0 if a=b is

The angle through which the axes are to be rotated so as to remove the xy term in the equation ax^(2)+2hxy+by^(2)=0 if a=b is

The product of the rational expressions (x^2 - y^2)/(x^2 + 2xy + y^2) and (xy + y^2)/(x^2 - xy) is:

Acute angle through which co-ordinate axes are rotated in order to remove xy term in 5x^(2)+2xy+3y^(2)+4x+5y+1=0 is (pi)/(n) where (2n) equals

The angle of rotation of axes in order to eliminate xy term in the equation xy=c^(2) is

The HCF of x^(2) - xy - 2y^(2) and 2x^(2) - xy - y^(2) is

The angle through which the axes be rotated so as to remove the term containing xy in the equation 7x^(2)-4xy+4y^(2)=5 is