Eccentricity of Hyperbola
Trending Questions
Q.
Latus rectum of a hyperbola is 8 and its conjugate axis is equal to half the distance between the foci. What is the eccentricity of the hyperbola.
43
4√3
- None of these
2√3
Q.
e1 and e2 are the eccentricities of two conics S and S1. If e12+e22 = 3 then both S and S1 can be
ellipse
parabolas
hyperbolas
circles
Q.
If the eccentricities of the hyperbolas x2a2−y2b2=1 and y2b2−x2a2=1 be e and e1, then 1e2+1e21=
1
2
3
None of these
Q.
e and e1 are the eccentricities of the hyperbolas 16x2−9y2=144 and 9x2−16y2= - 144 then e - e1 =
3/2
2
1
0
Q. The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is___ .
- 43
- 4√3
- 2√3
- √3
Q. Let the eccentricity of the hyperbola x2a2−y2b2=1 be reciprocal to that of the ellipse x2+4y2=4. If the hyperbola passes through a focus of the ellipse then
- the equation of the hyperbola is x45=y12=1
- a focus of the hyperbola is (2, 0)
- the eccentricity of the hyperbola is √53
- the equation of the hyperbola is x2−3y2=3
Q.
If e1 is the eccentricity of the ellipse x216+y225=1 and e2 is the eccentricity of the hyperbola passing through the foci of the ellipse and e1e2=1, then equation of the hyperbola is
None of these
x29−y216=1
x216−y29=−1
x29−y225=1
Q. The equations of the directrices of the hyperbola 16x2−9y2=−144 are:
- y=±825
- y=±1625
- y=±85
- y=±165