The first degree terms of `ax^2+2hxy+by^2+2gx+2fy+c=0` are removed by shifting origin to `(alpha,beta)`.The new equation as

To remove the first degree terms of the equation 2xy+4x-2y+7=0 the shifted origin is

To remove the first degree terms from the equation ax^(2)+by^(2)+2gx+2fy+c=0 where a!=0,b!=0 the origin shifted to the point

If the centre of the hyperbola whose equation is ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 " be " (alpha, beta) , then find the equation of the asymptotes.

If one of the lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 passes through the origin then

The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a circle if

the equation ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0 represents an ellipse , if

If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents parallel straight lines, then

If the lines represented by the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 are equidistant from the origin, then

If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two parallel straight lines, then

If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y-axis then