Question
If foci of hyperbola lie on y = x and one of the asymptotes is y = 2x, then equation of the hyperbola, given that it passes through (3, 4), is
Answer: Option C
:
C
Foci of hyperbola lie on y = x. So, the major axis is y = x. Major axis of hyperbola bisects the asymptote.
⇒ Equation of hyperbola is x = 2y
⇒ Equation of hyperbola is (y – 2x)(x – 2y) + k = 0
Given that, it passes through (3, 4)
⇒ Hence, required equation is
2x2+2y2−5xy+10=0
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:
C
Foci of hyperbola lie on y = x. So, the major axis is y = x. Major axis of hyperbola bisects the asymptote.
⇒ Equation of hyperbola is x = 2y
⇒ Equation of hyperbola is (y – 2x)(x – 2y) + k = 0
Given that, it passes through (3, 4)
⇒ Hence, required equation is
2x2+2y2−5xy+10=0
Was this answer helpful ?
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