Question

Help with number 1 please. Thank you.​

Answer 1

Hello,

Explanation:

Q1:

`\left\{\begin{array}{ccc}x&=&t+(1)/(t) \\\\y&=&t-(1)/(t) \\\end{array}\right.\\\\\left\{\begin{array}{ccc}x^2&=&t^2+(1)/(t^2) +2\\\\y^2&=&t^2+(1)/(t^2) -2\\\end{array}\right.\\\\\\x^2-y^2=4: \ equilater\ hyperbola.\\`

Q2:

1)

`\left\{\begin{array}{ccc}x&=&2t^2} \\\\y&=&4t \\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}t&=&(y)/(4) \\\\x&=&2*((y)/(4))^2 \\\end{array}\right.\\\\\\\boxed{x=(y^2)/(8)} :\ parabola\ with\ x-axis\ as\ axis\ of\ symmetry`

2)

`y=(25)/(x) \\`

equilater hyperbola (centre (0,0))