If the pair of lines `a x^2+2h x y+b y^2+2gx+2fy+c=0` intersect on the y-axis then `b^2g^2=c h^2` (b) `a b c=2fgh` `2fgh=bg^2+c h^2` `f^2=b c`

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

If the straight lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the X -axis,then

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

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

If the circle x^(2)+y^(2)+2gx+2fy+c=0 touches y -axis then the condition is

If the circle x^(2)+y^(2)+2gx+2fy+c=0 touches x- axis at (x_(1),0) then x^(2)+2gx+c =

The circle x^(2)+y^(2)+2gx+2fy+c=0 does not intersect x-axis,if (a) g^(2) c(c)g^(2)<2c(d) none of these

If ax^2 + by^2 + 2hxy + 2gx + 2fy + c = 0 represents an ellipse, then h^2 lt ab and abc +2fgh-at^2-bg^2-ch^2 != 0. If for every point (x_1,y_1) satisfying above equation onthen (2h-x_1,2k-y_1) also satisfy it,then (h,k) is centre of it. The length of semi major axis andmaximum and minimum value of the distance of a point lying on the curve from its centre..For the ellipse 2x^2 - 2xy + 4y^2 - (3 + sqrt2) = 0, the bindination of major axis of it with x-axis is

Equation of a circle that cuts the circle x^2 + y^2 + 2gx + 2fy + c = 0 , lines x=g and y=f orthogonally is : (A) x^2 + y^2 - 2gx - 2fy - c = 0 (B) x^2 + y^2 - 2gx - 2fy - 2g^2 - 2f^2 - c =0 (C) x^2 + y^2 + 2gx + 2fy + g^ + f^2 - c = 0 (D) none of these