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  • The normal at  of the rectangular hyperbola <img alt="\mathrm{\mathrm{xy}=16}" src="https://

The normal at \mathrm{t} of the rectangular hyperbola \mathrm{\mathrm{xy}=16} meets the \mathrm{x} axis at    

Option: 1

\mathrm{\left(\frac{4}{t}-4 t^{3}, 0\right)}


Option: 2

\mathrm{\left(0, \frac{4}{\mathrm{t}}-4 \mathrm{t}^{3}\right)}


Option: 3

\mathrm{\left(4 t-\frac{4}{t^{3}}, 0\right)}


Option: 4

\mathrm{\left(\frac{4}{t^{3}}-4 t, 0\right)}


Answers (1)

best_answer

Equation of normal \mathrm{\Rightarrow y-\frac{4}{t}=t^{2}(x-4 t)}, it meets x-axis at ,

\mathrm{\frac{-4}{t}=t^{2}(x-4 t) \Rightarrow x=4 t-\frac{4}{t^{3}}} i.e. at \mathrm{\left(4 t-\frac{4}{t^{3}}, 0\right)}.

Posted by

rishi.raj

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