Practice Summary - 3.4 | 3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES | CBSE 10 Mathematics
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Practice Questions

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Question 1

Easy

What does it mean if two lines representing linear equations intersect at a point?

πŸ’‘ Hint: Think about what an intersection implies.

Question 2

Easy

When are two equations considered inconsistent?

πŸ’‘ Hint: Recall the graphical representation of lines.

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Interactive Quizzes

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

Question 1

What do intersecting lines on a graph signify?

  • Infinite solutions
  • No solutions
  • A unique solution

πŸ’‘ Hint: Visualize the graph with two crossing lines.

Question 2

If the lines are parallel, what can we conclude?

  • True
  • False

πŸ’‘ Hint: Consider the properties of slopes.

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Challenge Problems

Push your limits with challenges.

Question 1

Solve the equations 5x - 3y = 4 and 2y - x = 6 using both the substitution and elimination methods. Are the solutions consistent?

πŸ’‘ Hint: Use elimination to isolate variables and verify.

Question 2

Create a real-world scenario where you can apply linear equations to find a solution. Formulate the equations and solve them.

πŸ’‘ Hint: Set up equations that represent their combined financial situations.

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