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What is the latus rectum of the parabola given by the equation y^2 = 12x?

Practice Questions

Q1
What is the latus rectum of the parabola given by the equation y^2 = 12x?
  1. 3
  2. 4
  3. 6
  4. 12

Questions & Step-by-Step Solutions

What is the latus rectum of the parabola given by the equation y^2 = 12x?
  • Step 1: Identify the standard form of the parabola. The given equation is y^2 = 12x, which is in the form y^2 = 4px.
  • Step 2: Compare the given equation with the standard form. Here, 4p = 12.
  • Step 3: Solve for p by dividing both sides of the equation by 4. So, p = 12 / 4 = 3.
  • Step 4: Use the value of p to find the latus rectum. The latus rectum is given by the formula 4p.
  • Step 5: Calculate the latus rectum using p. So, latus rectum = 4 * 3 = 12.
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