Question

What are the coordinates of a point on the hyperbola $16x^2-{25}^2=1$ given by the parameter ${30}^{\circ }$?

• A. \)
• B. \)
• C. \)
• D. \)

Answer 1

The correct option is C

\)

Given parameter is ,

$\ominus ={30}^{\circ }$

Parameter form is given by

$x=asec\theta$

$y=btan\theta$

$\therefore (x,y)\equiv \therefore (x,y)\equiv (\frac{1}{4}.sec{30}^{\circ },\frac{1}{5}.tan{30}^{\circ })$

$\equiv (\frac{1}{2\sqrt{3}},\frac{1}{5\sqrt{3}})$