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Unit 3 • Lesson 10 • Class 11Mathematics (Grade 11) (Mat.401)

Pair of Straight Lines

Pair of Straight Lines. The supplied textbook contents page identifies this as Chapter 10; detailed chapter content still requires verification against the printed chapter pages.

Lesson Summary & Key Concepts

Comprehensive study of second-degree homogeneous equations ax² + 2hxy + by² = 0, angle between two lines, condition for perpendicularity and coincidence, and combined equation of angle bisectors.

Textbook Exercises & Solutions

Showing 5 of 5 Solved Questions
Ex 10.1Question 3• 4 Marks
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Ex 10.1Question 7• 4 Marks
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Ex 10.1Question 1• 4 Marks
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Ex 10.1Question 5• 4 Marks
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Question 5• 6 Marks
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Quick Revision Takeaways

Common Exam Pitfalls to Avoid

⚠️ Common Error: Taking 2h as h directly when identifying coefficients.

✓ Correct Approach: Always divide the coefficient of xy by 2 to obtain h.

Why: In ax² + 2hxy + by² = 0, the middle coefficient is 2h.