Answer :
Answer:
rectangular hyper bola
Explanation:
when x=0 y tend to infinity
whey x tend to infinity y=0
so a rectangular hyperbola curve
Answer:
If \( y \) is inversely proportional to \( x \), this relationship can be expressed mathematically as:
\[ y = \frac{k}{x} \]
where \( k \) is a constant.
When you plot \( y \) against \( x \) for an inverse proportionality, the graph typically shows a hyperbola. Here’s how you can visualize this:
1. **Axes**:
- The x-axis represents the variable \( x \).
- The y-axis represents the variable \( y \).
2. **Shape of the Graph**:
- For positive values of \( k \), the curve will be in the first and third quadrants, indicating that as \( x \) increases, \( y \) decreases, and vice versa.
- For negative values of \( k \), the curve will be in the second and fourth quadrants.
3. **Behavior**:
- As \( x \) approaches zero from either side, \( y \) increases or decreases without bound (depending on the sign of \( k \)).
- As \( x \) becomes very large or very small, \( y \) approaches zero.
To summarize, plotting \( y \) against \( x \) for an inverse proportionality results in a hyperbolic curve, showing the typical behavior of such relationships where one variable decreases as the other increases.