The eccentricity of the conic 9x2 - 16y = 144 is
4/5
5/4
4/3
√7
If the line ax + by + c = 0 is a normal to the curve xy = 1, then
a > 0, b > 0
a > 0, b < 0 or a < 0, b > 0
a < 0, b < 0
None of these
The length of the latus rectum of the hyperbola is
2a2/b
2b2/a
b2/a
a2/b
If m is a variable , the locus of the point of intersection of the lines and is
a parabola
an ellipse
a hyperbola
a circle
The equation of the chord of the hyperbola x2 - y2 = 9 which is bisected at (5, -3) is
5x + 3y = 9
5x - 3y = 16
5x + 3y = 16
5x - 3y = 9
A point moves in a plane so that its distances PA and PB from two fixed points A and B in the plane satisfy the relation PA - PB = K (K ≠ 0), then the locus of P is.
a branch of a hyperbola
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
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
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
If e, e' are the eccentricities of hyperbolas and , then
e = e'
e = -e'
ee' = 1
1/e2 + 1/e'2 = 1
