Practice Properties Of A Parabola (6.3.2) - Conic Sections - ICSE 11 Maths
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Properties of a Parabola

Practice - Properties of a Parabola

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: Think about the standard form of parabola.

Question 2 Easy

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

💡 Hint: Recall how directrix is defined in relation to focus.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the focus of a parabola?

A fixed line
A fixed point
A variable line

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

Question 2

The directrix of a parabola is:

True
False

💡 Hint: It’s used alongside the focus definition.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Consider the coordinates of the points involved in your calculations.

Challenge 2 Hard

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

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

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