A conic has latus rectum length 1, focus at (2, 3) and the corresponding directrix is `x+y-3=0` the conic is 1) a parabola 2) an ellipse 3) a hyperbola 4) a rectangular hyperbola

A conic has latus rectum length 1, focus at (2,3) and the corresponding directrix is x+y -3=0 . Then the conic is

Equation of the rectangular hyperbola whose focus is (1,-1) and the corresponding directrix is x-y+1=0

Equation of the rectangular hyperbola whose focus is (1,-1) and the corresponding directrix is x-y+1=0

Equation of the rectangular hyperbola whose focus is (1,-1) and the corresponding directrix is x-y+1=0 .

If for a rectangular hyperbola a focus is (1,2) and the corresponding directrix is x+y=1 then the equation of the rectangular hyperbola is:

If for a rectangular hyperbola a focus is (1,2) and the corresponding directrix is x+y=1 then the equation of the rectangular hyperbola is

A hyperbola with eccentricity e=2 has a focus at (0,0) and corresponding directrix y-1=0 . The equation of the hyperbola is

A parabola is drawn to pass through A and B the ends of a diameter of a given circle of radius a and to have as directrix a tangent to a concentric circle of radius b , the axes being AB and a perpendicular diameter. The locus of the focus of the parabola is a conic which is : (A) a parabola (B) an ellipse (C) a hyperbola which is not a rectangular hyperbola (D) a rectangular hyperbola