A rectangular hyperbola is one in which
the two axes are rectangular
the two axes are equal
the asymptotes are perpendicular
the two branches are perpendicular
The diameter of 16 x2 - 9 y2 = 144 which is conjugate to x = 2 y is
y = 16/9 x
y = 32/9 x
x = 16/9 y
x = 32/9 y
The eccentricity of the conic 9 x2 - 16 y = 144 is
4/5
5/4
4/3
√7
P is a point on the hyperbola , N is the foot of the⊥ from P on the transverse axis.The tangent to the hyperbola at P meets the transverse axis at T.If O is the centre of the hyperbola, then OT.ON is equal to
e2
a2
b2
b2/a2
The eccentricity of the conic x2 - 2 x - 4 y2 = 0 is
1/4
3/2
√5/2
√5/4
The equation represents
an ellipse
a parabola
a hyperbola
a circle
If e,e' be the eccentricities of two conics S and S' and if e2 + e'2 = 3, then both S and S' can be
Ellipses
Parabola
Hyperbolas
None of these
The length of the latus rectum of the hyperbola is
2a2/b
2b2/a
b2/a
a2/b
The eccentricity of the hyperbola x2 - 4y2 = 1 is
√3/2
2/√5
2/√3
If the chords of contact of tangents from two points (x1,y1) and (x2,y2) to the hyperbola are at right angles, then is equal to
-a2/b2
-b2/a2
-b4/a4
-a4/b4
