HyperbolaEasy
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
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