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The general form of the family of curves y^2 = 4ax is known as:

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Question: The general form of the family of curves y^2 = 4ax is known as:

Options:

  1. Circle
  2. Ellipse
  3. Parabola
  4. Hyperbola

Correct Answer: Parabola

Solution: 

The equation y^2 = 4ax represents a parabola.

The general form of the family of curves y^2 = 4ax is known as:

Practice Questions

Q1
The general form of the family of curves y^2 = 4ax is known as:
  1. Circle
  2. Ellipse
  3. Parabola
  4. Hyperbola

Questions & Step-by-Step Solutions

The general form of the family of curves y^2 = 4ax is known as:
  • 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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