1
JEE Main 2016 (Offline)
+4
-1
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 :
A
$${2 \over {\sqrt 3 }}$$
B
$${\sqrt 3 }$$
C
$${{4 \over 3}}$$
D
$${4 \over {\sqrt 3 }}$$
2
AIEEE 2007
+4
-1
For the Hyperbola $${{{x^2}} \over {{{\cos }^2}\alpha }} - {{{y^2}} \over {{{\sin }^2}\alpha }} = 1$$ , which of the following remains constant when $$\alpha$$ varies$$=$$?
A
abscissae of vertices
B
abscissae of foci
C
eccentricity
D
directrix.
3
AIEEE 2007
+4
-1
Out of Syllabus
The normal to a curve at $$P(x,y)$$ meets the $$x$$-axis at $$G$$. If the distance of $$G$$ from the origin is twice the abscissa of $$P$$, then the curve is a :
A
circle
B
hyperbola
C
ellipse
D
parabola
4
AIEEE 2005
+4
-1
Out of Syllabus
The locus of a point $$P\left( {\alpha ,\beta } \right)$$ moving under the condition that the line $$y = \alpha x + \beta$$ is tangent to the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ is :
A
an ellipse
B
a circle
C
a parabola
D
a hyperbola
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