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)`.

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

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

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

If theta is the measure of the acute angle between the lines represented by equation ax^(2)+2hx+by^(2)=0 , then prove that tan theta =|(2sqrt(h^(2)-ab))/(a+b)| where a+b ne 0 and ne 0. Find the condition for coincident lines.

The angle of rotation of axes to remove xy term in the equation xy = c^(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

If theta is the angle between the lines represented by ax^(2)+2hxy+by^(2)=0 , then tantheta=