JEE Questions for Maths Conic Section Quiz 11

The distance between the foci of an ellipse is 16 and eccentricity is ½. Length of the major axis of the ellipse is

0%
8
0%
64
0%
16
0%
32

0%
0%
2)
0%
0%

0%
6
0%
12
0%
10
0%
16

0%
0%
2)
0%
3
0%
4

Equation of the ellipse with eccentricity ½ and foci at (±1,is

0%
0%
2)
0%
0%
None of these

The sum of focal distances of any point on the ellipse with major and minor axis as 2a and 2b respectively, is equal to

0%
2a
0%
2)
0%
0%

The equation of ellipse whose distance between the foci is equal to 8 and distance between the directrix is 18, is

0%
0%
2)
0%
0%

In an ellipse the distance between its foci is 6 and its minor axis is 8. Then its eccentricity is

0%
0%
2)
0%
0%

If a bar of given length moves with its extremities on two fixed straight lines at right angles, then the locus of any point on bar marked on the bar describes a/an

0%
Circle
0%
Parabola
0%
Ellipse
0%
Hyperbola

0%
(1, 3)
0%
(2, 3)
0%
(3, 2)
0%
(3, 1)

0%
0%
2)
0%
0%

The foci of an ellipse are (0, ±and the equation for the directrix are y = ±9. The equation for the ellipse is

0%
0%
2)
0%
0%

The equation of an ellipse whose eccentricity is ½ and the vertices are (4,and (10,is

0%
0%
2)
0%
0%

The equation of the ellipse whose centre is (2, –3), one of the foci is (3, –and the corresponding vertex is (4, –is

0%
0%
2)
0%
0%
None of the above

0%
A circle
0%
An ellipse
0%
A hyperbola
0%
A rectangular Hyperbola

0%
(0, 0)
0%
(1, 1)
0%
(1, 0)
0%
(0, 1)

The equation of an ellipse whose focus (–1,whose directrix is x – y + 3 = 0 and whose eccentricity is ½, is given by

0%
0%
2)
0%
0%

0%
(–1,and (–1, –6)
0%
(–1,and (6, 1)
0%
(1, –and (1, –6)
0%
(–1, –and (1, 6)

0%
0%
2)
0%
0%
None of these

0%
Hyperbola
0%
Parabola
0%
Hyperbola
0%
Circle

0%
0%
2)
0%
0%

A focus of an ellipse is at origin. The directrix is the line x = 4 and the eccentricity is ½. Then the length of the semi-major axis is

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0
0%
2
0%
3
0%
4

0%
0%
2)
0%
0%

0%
(0, ±3)
0%
(0, ±2)
0%
(3, ±3)
0%
(0, ±1)

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
Tangent
0%
Normal
0%
Directrix
0%
None of these

0%
±4
0%
±6
0%
±1
0%
±8

In an ellipse, if the line joining focus to the extremities of the minor axis form an equilateral triangle with the minor axis, then the eccentricity of the ellipse is