[" Consider a branch of the hyperbola "x^(2)-2y^(2)-2sqrt(2)x-4sqrt(2)y-6=0" with vertex at the point "A" Let B be "],[" one of the end points of its latum rectum.If "C" is the focus of the hyperbola nearest to the point "A" then "],[" area of the triangle "ABC" is "],[[" (A) "1-sqrt(2/3)," (B) "sqrt(3/2)-1," (C) "1+sqrt(2/3)," (D) "sqrt(3/2)+1]]

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 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 :

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 (A) 1-sqrt(2/3) (B) sqrt(3/2) -1 (C) 1+sqrt(2/3) (D) sqrt(3/2)+1

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 (A) 1-sqrt(2/3) (B) sqrt(3/2) -1 (C) 1+sqrt(2/3) (D) sqrt(3/2)+1

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 (A) 1-sqrt(2/3) (B) sqrt(3/2) -1 (C) 1+sqrt(2/3) (D) sqrt(3/2)+1

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) .

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