There si a parabola having axis as `x`-axis, vertex is at a distance of `2` unit from origin & focus is at `(4,0)`. Which of the following point does not lie on the parabola. (a) `(6,8)` (b) `(5,2sqrt(6))` (c) `(8,4sqrt(3))` (d) `(4,-4)`

Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4, respectively, from the origin on the positive x-axis, then which of the following points does not lie on it ?

If the vertices of the hyperbola 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) (2sqrt(6),5)(c)(4,sqrt(15))(d)(6,5sqrt(2))

The line x-y+2=0 touches the parabola y^2 = 8x at the point (A) (2, -4) (B) (1, 2sqrt(2)) (C) (4, -4 sqrt(2) (D) (2, 4)

If axis of the parabola lie along y-axis and if vertex is at a distance of 2 from origin on positive y-axis, focus is at a distance of 2 from origin on negative y-axis then which of the following points doesn't lie on the parabola:

the length of intercept made by the line sqrt2x-y-4sqrt2=0 on the parabola y^2=4x is equal to (a) 6sqrt3 (b) 4sqrt3 (c) 8sqrt2 (d) 6sqrt2

Let the length of latus rectum of an ellipse with its major axis along x-axis and center at the origin,be 8. If the distance between the foci of this ellipse is equal to the length of the minor axis,then which of the following points lies on it: (a) (4sqrt(2),2sqrt(2)) (b) (4sqrt(3),2sqrt(2)) (c) (4sqrt(3),2sqrt(3))( d) (4sqrt(2),2sqrt(3))

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 equation of parabola whose vertex and focus lie on the axis of x at distances a and a_1 from the origin respectively, is