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

The angle through which the coordinates axes be rotated so that xy-term in the equation 5x^(2)+4sqrt(3)xy+9y^(2)=0 may beb missing, is

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

The angle through which the axes must be rotated, without translation, in anit-closwise sence so that the exprssion ax^(2)+hxy-by^(2)+2gx+2fy+c does not contain the mixed product xy, is given by

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

If the coordinate axes are the bisectors of the angles between the pair of lines ax^(2)+2hxy+by^(2)=0 , then

If the axes are rotated through an angle 180^(@) then the equation 2x-3y+4=0 becomes

If theta is an angle by which axes are rotated about origin and equation ax^2+2hxy+by^2=0 does not contain xy term in the new system, then prove that tan2theta=(2h)/(a-b) .

Show that the equation of the pair of lines bisecting the angles between the pair of bisectors of the angles between the pair of lines ax^(2)+2hxy+by^(2)=0 is (a-b)(x^(2)-y^(2))+4hxy=0