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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the center of the circle represented by the equation (x-2)² + (y+3)² = 16?
💡 Hint: Identify the coordinates from the standard circle equation.
Question 2
Easy
Identify if the point (1, 1) lies on the circle with the equation (x-1)² + (y-1)² = 4.
💡 Hint: Substitute the point into the equation.
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 shape is formed when a plane cuts a cone parallel to its axis?
- Circle
- Hyperbola
- Ellipse
💡 Hint: Think about the angle of intersection with the cone.
Question 2
Is the definition of an ellipse being the set of points where the sum of the distances to two foci is constant true?
- True
- False
💡 Hint: Remember what distinguishes an ellipse from other conics.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A spotlight is aimed at an angle in such a way that it creates a parabolic shape on a wall. If the focus is 3 units above the vertex at the origin, write the equation of the parabola.
💡 Hint: Relate the focus to the value of 'p' in the standard parabolic equation.
Question 2
Find the length of the major axis for an ellipse represented by the equation x²/100 + y²/36 = 1.
💡 Hint: Identify 'a' from the standard equation of the ellipse.
Challenge and get performance evaluation