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 parabola
an ellipse
a hyperbola
a branch of a hyperbola
Two diameters with slopes m1,m2 are conjugate if
m1m2 = -1
m1m2 = - b2/a2
m1m2 = a2/b2
m1m2 = b2/a2
The length of the latus rectum of the hyperbola is
2a2/b
2b2/a
b2/a
a2/b
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 line y = 4x + c touches the hyperbola x2 - y2 = 1 iff
c = 0
c = ± √2
c = ± √15
c = ± √17
If e, e' are the eccentricities of hyperbolas and , then
e = e'
e = -e'
ee' = 1
1/e2 + 1/e'2 = 1
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 eccentricity of the conic 9x2 - 16y = 144 is
4/5
5/4
4/3
√7
The equation represents
a circle
The locus of the points of intersection of perpendicular tangents to is
x2 + y2 = a2 + b2
x2 - y2 = a2 - b2
x2 + y2 = a2 - b2
x2 - y2 = a2 + b2
