Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ 1 m 2 3 1 2m 1 m -m m or =- 2 2 2 3 1 2m 1 2m 1 2m Case I 1 -m 2 3 1 2m 2 1 2m 3m 2 2m 3m 1 0 2 2m 2m m 1 0 mm m m 12m 1 0 2 1 1 1 0 1 m 1 or m 2 If m = -1, then the slopes of the lines are -1 and -2. 1 1 If m = ,then the slopes of the lines are and -1. 2 2 Case II 1 m 2 3 1 2m 2 2m 1 3m 2 2m 3m 1 0 2 2m 2m m 1 0 mm m m 12m 1 0 2 1 1 1 0 1 m1 or m 2 If m = 1, then the slopes of the lines are 1 and 2. 1 1 If m = ,then the slopes of the lines are and 1. 2 2 1 1 Hence, the slopes of the lines are -1 and -2 or - and -1 or 1 and 2 or and 1. 2 2 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ Question 12: A line passes through x , y and h, k . If slope of the line is m, show that k y mh x Solution 12: 1 1 k y1 x1 y1 h k is . h x The slope of the line passing through , and , It is given that the slope of the line is m. k y1 = m h x 1 k y m h x 1 1 Hence, k y m h x 1 1 1 1 1 Question 13: a b If three points h,0 , a, b, and 0, k lie on a line, show that 1. h k Solution 13: If the points A h,0 , B ab , , and C 0,k lie on a line, then Slope of AB = Slope of BC Question 14: Consider the given population and year graph. Find the slope of the line AB and using it, find what will be the population in the year 2010? Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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Class XI Chapter 2 - Relations and

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Class XI Chapter 3 - Trigonometric

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Class XI Chapter 9 - Sequences and

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Class XI Chapter 12 - Introduction

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Class XI Chapter 13 - Limits and De

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