A hyperbola is given with its vertices at `(-2,0)` and `(2,0)` one of the foci of hyperbola is `(3,0)`. Then which of the following points does not lie on hyperbola (A) `(sqrt24,5)` (B) `(sqrt44, 5sqrt2)` (C) `(sqrt44, -5sqrt2)` (D) `(-6, 5sqrt2)`

If the vertices of the parabola be at (-2,0) and (2,0) and one of the foci be at (-3,0) then which one of the following points does not lie on the hyperbola? (a) (-6, 2sqrt(10)) (b) (2sqrt6,5) (c) (4, sqrt(15)) (d) (6, 5sqrt2)

If the eccentricity of a hyperbola is sqrt(3) , the eccentricity of its conjugate hyperbola, is

If the ecentricity of a hyperbola is sqrt3 then the ecentricity of its conjugate hyperbola is

The centre of an ellipse is at origin and its major axis coincides with x-axis. The length of minor axis is equal to distance between foci and passes through the point (sqrt29, 2sqrt(29/5)) , then which of the following points lie on ellipse (A) (4sqrt3, 2sqrt2) (B) (4sqrt3, 2sqrt3) (C) (4sqrt2, 2sqrt3) (D) (4sqrt2, 2sqrt2)

The vertices of a hyperbola are at (0, 0) and (10, 0) and one of its foci is at (18, 0). The equation of the hyperbola is

The vertices of a hyperbola are (2,0 ) ,( -2,0) and the foci are (3,0) ,(-3,0) .The equation of the hyperbola is

The distance between the foci of a hyperbola is 16 and its eccentricity is sqrt(2) then equation of the hyperbola is

Which of the following is the value of sin 27^0-cos 27^0? (a) -(sqrt(3-sqrt(5)))/2 (b) (sqrt(5-sqrt(5)))/2 (c) -(sqrt(5)-1)/(2sqrt(2)) (d) none of these

Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the sraight line 2x-y=1. The points of contact of the tangents on the hyperbola are (A) (9/(2sqrt2),1/sqrt2) (B) (-9/(2sqrt2),-1/sqrt2) (C) (3sqrt3,-2sqrt2) (D) (-3sqrt3,2sqrt2)

The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=1 is (a) 2 (b) 2sqrt(3) (c) 4 (d) 4/5