AMU MCA Hyperbola Previous Year Questions (PYQs)
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The straight line $x + y = \sqrt{2},p$ will touch the hyperbola $4x^2 - 9y^2 = 36$ if
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Solution
The centre of a rectangular hyperbola lies on the line $y=2x$. If one of the asymptotes is $x+y+c=0$, then the other asymptote is
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Solution
Given asymptote slope = $-1$.
For rectangular hyperbola, slopes of asymptotes are negative reciprocals.
So other slope = $1$.
Required line of slope 1 through centre gives:
$x - y - c = 0$
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