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The general form of the family of curves y^2 = 4ax is known as:
The general form of the family of curves y^2 = 4ax is known as:
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Practice Questions
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Q1
The general form of the family of curves y^2 = 4ax is known as:
Circle
Ellipse
Parabola
Hyperbola
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The equation y^2 = 4ax represents a parabola.
Questions & Step-by-step Solutions
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Q
Q: The general form of the family of curves y^2 = 4ax is known as:
Solution:
The equation y^2 = 4ax represents a parabola.
Steps: 4
Show Steps
Step 1: Identify the equation given, which is y^2 = 4ax.
Step 2: Recognize that this equation is in the form of a standard parabola equation.
Step 3: Understand that in this equation, 'a' is a constant that determines the width and direction of the parabola.
Step 4: Conclude that the general form of the family of curves represented by this equation is a parabola.
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