# Ex 10.1, 9

Last updated at March 9, 2017 by Teachoo

Last updated at March 9, 2017 by Teachoo

Transcript

Ex10.1, 9 Without using distance formula, show that points (–2, –1), (4, 0), (3, 3) and (–3, 2) are vertices of a parallelogram. Let the given points be A (–2, –1) , B (4, 0) , C (3, 3) , D (–3, 2) We have to prove if ABCD is a parallelogram ABCD is a parallelogram if both pairs of opposite sides are parallel i.e. AB ∥ CD & AD ∥ BC So, we have to prove Slope of AB = Slope of CD Slope of AD = Slope of BC Lets calculate slope of AB, BC, CD, and AD Since Slope of AB = Slope of CD ∴ AB ∥ CD Since Slope of AD = Slope of BC ∴ AD ∥ BC Hence AB II CD & AD II BC Since both pairs of opposite sides of ABCD are parallel. Hence ABCD is a parallelogram

Ex 10.1, 5
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Ex 10.1, 7 Important

Ex 10.1, 9 Important You are here

Ex 10.1, 13 Important

Ex 10.2, 8 Important

Ex 10.2, 14 Important

Ex 10.2, 18 Important

Example 15 Important

Ex 10.3, 5 Important

Ex 10.3, 8 Important

Ex 10.3, 10 Important

Ex 10.3, 16 Important

Ex 10.3, 18 Important

Example 22 Important

Misc 6 Important

Misc 12 Important

Misc 18 Important

Misc 23 Important

Important Question for exams Class 11

- Chapter 1 Class 11 Sets
- Chapter 2 Class 11 Relations and Functions
- Chapter 3 Class 11 Trigonometric Functions
- Chapter 4 Class 11 Mathematical Induction
- Chapter 5 Class 11 Complex Numbers
- Chapter 6 Class 11 Linear Inequalities
- Chapter 7 Class 11 Permutations and Combinations
- Chapter 8 Class 11 Binomial Theorem
- Chapter 9 Class 11 Sequences and Series
- Chapter 10 Class 11 Straight Lines
- Chapter 11 Class 11 Conic Sections
- Chapter 12 Class 11 Introduction to Three Dimensional Geometry
- Chapter 13 Class 11 Limits and Derivatives
- Chapter 14 Class 11 Mathematical Reasoning
- Chapter 15 Class 11 Statistics
- Chapter 16 Class 11 Probability

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.