The equation `sqrt(x)=2y`, represents that graph between x and y is a :-

Options

A. Straight line
B. Parabola
C. Hyperbola
D. Circle

Answer

To determine the type of graph represented by the equation \(\sqrt{x} = 2y\), follow these steps:

1. **Given Equation:**
\[ \sqrt{x} = 2y \]

2. **Square Both Sides:**
To eliminate the square root, square both sides of the equation.
\[ (\sqrt{x})^2 = (2y)^2 \]
Simplifying both sides:
\[ x = 4y^2 \]

3. **Identify the Graph:**
The equation \(x = 4y^2\) is in the standard form of a parabola. Specifically, it represents a parabola that opens to the right.

4. **Conclusion:**
Therefore, the graph of the equation \(\sqrt{x} = 2y\) is a parabola.

**Final Answer:**
The equation \(\sqrt{x} = 2y\) represents a graph that is a parabola.