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

A hyperbola is given with its vertices at (-2,0) and (2,0) one of the foci of hyperbola is (3,0) .Then which of the following points does not lie on hyperbola (A) (sqrt(24),5)( B) (sqrt(44),5sqrt(2))( C) (sqrt(44),-5sqrt(2)) (D) (-6,5sqrt(2))

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)

The length of transverse axis of a hyperbola is sqrt(2) . The foci of hyperbola are same as the foci of ellipse 3x^2+4y^2=12 . Which of the following points does not lie on the hyperbola?

The foci of the hyperbola 3(y-1)^2-4(x-2)^2=12 are (0,sqrt(7)) b. (-2,1-sqrt(7)) c. 2,1-sqrt(7) d. (0)-sqrt(7)

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 eccentricity of the hyperbola x^(2)-4y^(2)=1 is a.(sqrt(3))/(2) b.(sqrt(5))/(2) c.(2)/(sqrt(3))d.(2)/(sqrt(5))

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

Express each one of the following with rational denominator: (sqrt(3)+1)/(2sqrt(2)-sqrt(3))( ii) (6-4sqrt(2))/(6+4sqrt(2))

The eccentricity of the conjugate hyperbola of the hyperbola x^(2)-3y^(2)=1 is 2(b)2sqrt(3)(c)4 (d) (4)/(5)

(sqrt(24)+sqrt(216))/(sqrt(96))=?2sqrt(6)(b)2(c)6sqrt(2)(d)