- #1

- 14

- 0

(x-h)(y-k)= some constant

Is the following also an equation of rectangular hyperbola

(x-h)^4(y-k)=some constant ?

I am trying to find the shape of this curve,is it similar to that of rectangular hyperbola?

- Thread starter gliteringstar
- Start date

- #1

- 14

- 0

(x-h)(y-k)= some constant

Is the following also an equation of rectangular hyperbola

(x-h)^4(y-k)=some constant ?

I am trying to find the shape of this curve,is it similar to that of rectangular hyperbola?

- #2

- 14

- 0

the cartesian equation of rectangular hyperbola in question is given by:

xy=a^2

If we have it as (x-h)^4(y-k)=a^2,will the shape of graph of this rectangular hyperbola change?...the centre is different of course...it has shifted to (h,k) with the two parts of the graph lying in the newly formed first and third quadrant...

someone please reply!

- #3

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 956

- #4

- 14

- 0

But how do we find the graph of such a function?and if not the graph,can we get some idea about point of intersection of graph of this function with any of the axes?

- Replies
- 11

- Views
- 7K

- Last Post

- Replies
- 4

- Views
- 936

- Last Post

- Replies
- 6

- Views
- 876

- Last Post

- Replies
- 4

- Views
- 952

- Last Post

- Replies
- 6

- Views
- 851

- Last Post

- Replies
- 2

- Views
- 2K

- Last Post

- Replies
- 3

- Views
- 982

- Last Post

- Replies
- 1

- Views
- 545

- Last Post

- Replies
- 4

- Views
- 17K

- Last Post

- Replies
- 31

- Views
- 2K