Practice Graphical Method of Solution of a Pair of Linear Equations - 3.2 | 3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES | CBSE 10 Mathematics
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3.2 - Graphical Method of Solution of a Pair of Linear Equations

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Graph the equations y = 2x + 1 and y = -x + 3. Do they intersect?

πŸ’‘ Hint: Plot both equations on a graph to see where they cross.

Question 2

Easy

What do you call two lines that never intersect?

πŸ’‘ Hint: Think about their slopes.

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 can be said about two linear equations that have the same slope but different y-intercepts?

  • They intersect at one point.
  • They are parallel.
  • They are coincident.

πŸ’‘ Hint: Think about the slopes!

Question 2

If two lines coincide when graphed, how many solutions do they have?

  • True
  • False

πŸ’‘ Hint: What does coinciding mean in terms of solutions?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove whether the equations 5x + 2y = 12 and 10x + 4y = 24 are dependent, independent, or inconsistent by graphing.

πŸ’‘ Hint: Use the method of coefficients to compare.

Question 2

Given two equations x + 2y = 5 and 3x - 6y = 15, determine the solutions.

πŸ’‘ Hint: Check if you can manipulate one equation into the form of the other.

Challenge and get performance evaluation