What is the nature of the graph - y-2-x

The correct option is A Rectangular hyperbola in second and fourth quadrantIf k gt;0, then the function is decreasing from zero to negative infinity and from ...

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Standard XII

Mathematics

Graphical Interpretation of Differentiability

What is the n...

Question

What is the nature of the graph : $y = - \frac{2}{x}$

Rectangular hyperbola in second and fourth quadrant

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Rectangular hyperbola in first and third quadrant

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Hyperbola but not a rectangular hyperbola

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none of these

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Solution

The correct option is A Rectangular hyperbola in second and fourth quadrant
If k>0, then the function is decreasing from zero to negative infinity and from positive infinity to zero i.e it is in the first ans third quadrant . But if it is rotated at -45 degree, the hyperbola is in second and third quadrant i.e the graph of - $\frac{1}{x}$ or - $\frac{k}{x}$ is a rectangular hyperbola of which the asymptotes are at co-ordinate axis. Hence the graph is at second and fourth quadrant.

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Similar questions

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then the equation of the rectangular hyperbola is

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What is the nature of the graph : y=−2x

What is the nature of the graph : $y = - \frac{2}{x}$