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 parabola 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) (2sqrt6,5) (c) (4, sqrt(15)) (d) (6, 5sqrt2)

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)

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 vertex and focus of a parabola are at a distance of h and k units on positive x-axis from origin. Then equation of parabola is

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

The point on the parabola y^(2) = 8x at which the normal is inclined at 60^(@) to the x-axis has the co-ordinates as (a) (6,-4sqrt(3)) (b) (6,4sqrt(3)) (c) (-6,-4sqrt(3)) (d) (-6,4sqrt(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)

Length of the focal chord of the parabola (y +3)^(2) = -8(x-1) which lies at a distance 2 units from the vertex of the parabola is (a) 8 (b) 6sqrt(2) (c) 9 (d) 5sqrt(3)