Practice Properties of a Parabola - 6.3.2 | 6. Conic Sections | ICSE Class 11 Maths
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Identify the focus of the parabola with equation y^2 = 4px.

πŸ’‘ Hint: Think about the standard form of parabola.

Question 2

Easy

What is the directrix of the parabola y^2 = 4px?

πŸ’‘ Hint: Recall how directrix is defined in relation to focus.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the focus of a parabola?

  • A fixed line
  • A fixed point
  • A variable line

πŸ’‘ Hint: Remember it’s a key part of how a parabola is formed.

Question 2

The directrix of a parabola is:

  • True
  • False

πŸ’‘ Hint: It’s used alongside the focus definition.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that any point on the parabola is equidistant from the focus and directrix.

πŸ’‘ Hint: Consider the coordinates of the points involved in your calculations.

Question 2

Design a parabolic satellite dish focusing on radio waves. Explain the design basics.

πŸ’‘ Hint: Focus on the dimensions that align with the properties of a parabola for signal reception.

Challenge and get performance evaluation