HyperbolaHard
Question
If x + 2 = 0 and y = 1 are the equation of asymptotes of rectangular hyperbola passing through (1,0). Then which of the following is(are) not the equation(s) of hyperbola -
Options
A.xy - x + 2y + 1 = 0
B.xy - x - 2y + 1 = 0
C.xy - x - 2y - 1 = 0
D.xy + 2x - y + 1 = 0
Solution
Equation of hyperbola is (x + 2)(y - 1) + k = 0
∵ Hyperbola passes through (1,0) ⇒ k = 3
∴ Equation of hyperbola is xy - x + 2y + 1 = 0
∵ Hyperbola passes through (1,0) ⇒ k = 3
∴ Equation of hyperbola is xy - x + 2y + 1 = 0
Create a free account to view solution
View Solution FreeMore Hyperbola Questions
P is a point on the hyperbola = 1, N is the foot of the perpendicular from P on the transverse axis. The tangent to the ...If the centre, vertex and focus of a hyperbola be (0, 0), (4, 0) and (6, 0) respectively, then the equation of the hyper...The product of the lengths of the perpendiculars drawn from foci on any tangent to the hyperbola = 1 is -...If the eccentricity of the hyperbola x2 − y2 sec2 α = 5 is √3 times the eccentricity of the ellipse x2 ...The equation of the chord joining two points (x1, y1) and (x2, y2) on the rectangular hyperbola xy = c2 is-...