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  • The number of tangents and normals to the hyperbola <img alt="\mathrm{\frac{x^2}{16}-\frac{y^2}{25}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Cfrac%7Bx%5E2%7D%7B16%7

The number of tangents and normals to the hyperbola \mathrm{\frac{x^2}{16}-\frac{y^2}{25}} of the slope 1 is

Option: 1

2,2


Option: 2

2,0


Option: 3

0,0


Option: 4

0,2


Answers (1)

best_answer

Equation of tangents and normal with slope 'm' will be 

\mathrm{\begin{aligned} & \mathrm{y}=\mathrm{mx} \pm \sqrt{16 \mathrm{~m}^2-25} \\ & \mathrm{y}=\mathrm{mx} \pm \frac{41 \mathrm{~m}}{\sqrt{16-25 \mathrm{~m}^2}} \end{aligned}}

Posted by

seema garhwal

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