- The focal distance of a point on the
parabola is 4. Its ordinates are:
(a) ± 1 (b) ± 2 (c) ± 3 (d) ± 4 - An equilateral triangle is inscribed in
a parabola = x whose one vertex is the
vertex of the parabola. What is the length
of side of the triangle?
(a) √ units (b) 2√ units (c) 3√ units
(d) 1 unit
- If (2, 0) is the vertex and the y-axis is
the directrix of a parabola, then where is
its focus?
(a) (0, 0) (b) (-2, 0) (c) (4, 0) (d) (-4, 0) - The eccentricity of the ellipse
is:^(a) (b) (c) √ (d) √
- The length of the latus rectum of the
ellipse 25 is:
(a)^ (b)^ (c)^ (d)^
- The equation of the ellipse with foci
at (±5, 0) and x=^ as one directrix, is:
(a)^
(b)
(c)
(d)^
- If the foci are (±1, 0) and the major
axis is 6, then the equation of the ellipse
in its standard form is given by:
(a)^
(b)
(c)
( )^
( )^
(d)
= 1^
- If the angle between the lines joining
the end points of minor axis of an ellipse
with its foci is^ , then the eccentricity of
the ellipse is:
(a)^ (b) √^ (c) √ (d) ( (^) √^ )
- S and T are the foci of an ellipse and B
is an end of its minor axis. If STB is an
equilateral triangle. What is the
eccentricity of the ellipse?
(a)^ (b)^ (c)^ (d)^ - The eccentricities of the ellipse
= 1, α > β, and
are
equal. Which one of the following is
correct?
(a) 4α = 3β (b) αβ = 12 (c) 4β = 3α (d)
9α = 16β- If the eccentricity of a conic section is
equal to^
, x^ R/{0}, then the conic
section is:
(a) a circle (b) a parabola (c) an ellipse
(d) a hyperbola - Which one of the following points lies
outside the ellipse ( ) + ( ) = 1?
(a) (a, 0) (b) (0, b) (c) (-a, 0) (d) (a, b) - The standard equation of the
hyperbola having the distance between
foci as 32 and eccentricity 2√ , is
(a) 7 (b) (c)
7 (d) - The equation 2
represents a/an:
(a) circle (b) parabola (c) ellipse (d)
hyperbola