Question-1 If distance between directrices of a rectangular hyperbola is 10, then distance between its foci will be

Question-2 The sum of the distances of a point (2,-3) from the foci of an ellipse 16 (x-2)^{2} + 25 (y + 3)^{2} = 400 is

Question-3 If the foci and vertices of an ellipse be (±1,0) and (±2,0) then the minor axis of the ellipse is

Question-4 The vertex of the parabola x^{2} + 2 y = 8 x -7 is

Question-5 The distance between the foci of the conic 7x^{2} - 9y^{2} = 63 is equal to

Question-6 The equation of the latus rectum of the parabola x^{2} + 4 x + 2 y = 0 is equal to

Question-7 If the vertex of the parabola y = x^{2} - 16 x + k lies on x - axis, then the value of k is

Question-8 The distance between the foci of the hyperbola x^{2} - 3 y^{2} - 4 x - 6 y - 11 = 0 is

Question-9 A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2, then length of semi major axis is

Question-10 Length of major axis of ellipse 9x^{2} + 7y^{2} = 6 3 is