For a hyperbola whose centre is at (1, 2) and asymptotes are parallel to lines and , then equation of hyperbola passing through (2, 4) is |
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a) |
b) |
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c) |
d) |
None of these |
For a hyperbola whose centre is at (1, 2) and asymptotes are parallel to lines and , then equation of hyperbola passing through (2, 4) is |
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a) |
b) |
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c) |
d) |
None of these |
(b)
Let the asymptotes be and
It will pass through centre (1, 2). Hence,
The equation of the hyperbola is
It passes through (2, 4), therefore
Hence , equation of hyperbola is