Find the equation of hyperbola : Whose center is (1,0), focus is (6,0) and the transverse axis is 6

Find the equation of hyperbola : Whose center is (3, 2), one focus is (5, 2) and one vertex is (4, 2)

Find the equation of hyperbola : Whose center is (-3,2), one vertex is (-3,4), and eccentricity is 5/2dot

Find the equation of the parabola whose vertex is (4,1) and focus is (4,-3).

Find the equation of the parabola with vertex (0,0), focus (-2,0).

Find the equation of the parabola whose vertex is (4, -2) and focus is (1, -2).

Find the equation of the hyperbola if centre (1,-2), length of the transverse axis is 8, e=(5)/(4) and the transverse axis is parallel to X-axis.

Find the eccetricity of hyperbola through (4,2) whose centre is (0.0) length of transverse axis is 4 and transverse axis along x-axis. (a) 2 (b) sqrt3 (c) (sqrt3)/(2) (d) (2)/(sqrt3)

Find the equation of hyperbola in each of the following cases: (i) Centre is (1, 0), one focus is (6, 0) and transverse axis 6 (ii) Centre is (3, 2), one focus is (5, 2) and one vertex is (4, 2) (iii) Centre is (-3,2), one vertex is (-3,4) and eccentricity is 5/2 (iv) Foci are (4,2), (8,2) and eccentricity is 2

Find the equation of the parabola with vertex at (0,0) and focus at (0,3).