One of the foci of the hyperbola `x^(2)-2y^(2)-2x+8y-1=0` ,is

The centre of the hyperbola x^(2)-y^(2)-4x-2y-8=0 is

The length of latus-rectum of the hyperbola x^(2) - 2y ^(2) - 2x + 8y - 1 = 0 is (i) sqrt(6) (ii) 4 sqrt(3) (iii) 4 (iv) 3

What are the foci of the hyperbola x^(2)/(36)-y^(2)/(16)=1

The equation of directrices of the hyperbola 5x^(2) -4y^(2) -30x -8y -39 =0 are

The vertices of the hyperbola x^(2)-3y^(2)+2x+12y+1=0 are

The locus of the mid-point of the chords of the hyperbola x^(2)-y^(2)=4 , that touches the parabola y^(2)=8x is

The co-ordinates of the centre of the hyperbola, x^2+3x y+3y^2+2x+3y+2=0 is (-1,0) (b) (1, 0) (-1,1) (d) (1,-1)

Find the coordinates of the foci and the center of the hyperbola, x^2-3y^2-4x=8

The equation of the tangent to the hyperbola 3x^(2) - 8y^(2) = 24 and perpendicular to the line 3x -2y = 4 is

Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4x-6y=0 parallel to y = 2x.