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The general form of the family of curves y^2 = 4ax represents:

Practice Questions

Q1
The general form of the family of curves y^2 = 4ax represents:
  1. Ellipses
  2. Hyperbolas
  3. Parabolas
  4. Circles

Questions & Step-by-Step Solutions

The general form of the family of curves y^2 = 4ax represents:
  • Step 1: Identify the equation given, which is y^2 = 4ax.
  • Step 2: Recognize that this is a standard form of a parabola equation.
  • Step 3: Understand that in this equation, 'a' is a constant that determines the width and position of the parabola.
  • Step 4: Note that the 'y^2' term indicates that the parabola opens either to the right or left, depending on the sign of 'a'.
  • Step 5: Since '4a' is positive when 'a' is positive, the parabola opens to the right.
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