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The family of curves represented by y^2 = 4ax is known as:
Practice Questions
Q1
The family of curves represented by y^2 = 4ax is known as:
Parabolas
Ellipses
Hyperbolas
Circles
Questions & Step-by-Step Solutions
The family of curves represented by y^2 = 4ax is known as:
Steps
Concepts
Step 1: Identify the equation given, which is y^2 = 4ax.
Step 2: Recognize that this equation is in the standard form of a parabola.
Step 3: Understand that 'a' is a constant that affects the width and direction of the parabola.
Step 4: Realize that as 'a' changes, the shape of the parabola changes, but it remains a parabola.
Step 5: Conclude that the family of curves represented by this equation is indeed a family of parabolas.
No concepts available.
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