Consider a branch of the hypebola `x^2-2y^2-2sqrt2x-4sqrt2y-6=0` with vertex at the point A. Let B be one of the end points of its latus rectum. If C is the focus of the hyperbola nearest to the point A, then the area of the triangle ABC is

Consider a branch of the hyperbola : x^2 -2y^2-2sqrt2x-4sqrt2y-6=0 with vertex at the point A. Let B be one of the end points of the latus -rectum. If C is the focus of the hyperbola nearest to the point A , then the area of the traingle ABC is :

A vertex of a branch of the hyperbola x^(2)-2y^(2)-2sqrt(2)x-4sqrt(2)y-6=0 , B is one of the end points of its latuscrectum and C is the focus of the hyperbola nearest to the point A . Statement- 1 : The area of DeltaABC is ((sqrt(3))/(2)-1) sq. units. Statement- 2 : Eccentricity of the hyperbola is (sqrt(3))/(2) and length of the conjugate axis is 2sqrt(2) .

A vertex of a branch of the hyperbola x^(2)-2y^(2)-2sqrt(2)x-4sqrt(2)y-6=0 , B is one of the end points of its latuscrectum and C is the focus of the hyperbola nearest to the point A . Statement- 1 : The area of DeltaABC is ((sqrt(3))/(2)-1) sq. units. Statement- 2 : Eccentricity of the hyperbola is (sqrt(3))/(2) and length of the conjugate axis is 2sqrt(2) .

The end points of the latus rectum of the parabola x ^(2) + 5y =0 is

The end points of the latus rectum of the parabola x ^(2) + 5y =0 is

The end points of latus rectum of the parabola y^2=24x are _____.

The coordinates of one of the end-points of the latus rectum of the parabola (y - 1)^(2) = 2(x + 2 ) are _

If the ellipse x^(2)+2y^(2)=4 and the hyperbola S = 0 have same end points of the latus rectum, then the eccentricity of the hyperbola can be

If the ellipse x^(2)+2y^(2)=4 and the hyperbola S = 0 have same end points of the latus rectum, then the eccentricity of the hyperbola can be