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Previous Year Question (PYQs)

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




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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