Home
Class 11
MATHS
If ax^2 + by^2 + 2hxy + 2gx + 2fy + c =...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

If ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of lines then prove that triangle=abc+2fgh-af^2-bg^2-ch^2=0 .

IF the equation x^(2) + y^(2) + 2gx + 2fy + 1 = 0 represents a pair of lines, then

If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove that h^2=ab .

If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove that af^2=bg^2 .

If the straight lines given by ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 intersects on x -axis then show that 2fgh-af^(2)-ch^(2)=0

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

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

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