Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ Question 7: Find equation of the line parallel to the line 3x – 4y + 2 = 0 and passing through the point (-2, 3). Solution 7: The equation of the given line is 3x – 4y + 2 = 0 Or y = 3 x 2 4 4 3 1 or y= x Which is of the form y = mx + c 4 2, Slope of the given line = 3 4 It is known that parallel lines have the same slope. Slope of the other line = m = 3 4 Now, the equation of the line that has a slop of 3 and passes through the points (-2, 3) is 4 3 4 4y12 3x 6 i.e., 3x-4y+18=0 y-3 = x 2 Question 8: Find the equation of the line perpendicular to the line x - 7y + 5 = 0 and having x intercept 3. Solution 8: The given equation of the line is x - 7y + 5 = 0. 1 5 Or, y x , which is of the form y = mx + c 7 7 Slope of the given line = 1 7 The slope of the line perpendicular to the line having a slope of 1 7 is 1 m = - 7 1 7 The equation of the line with slope -7 and x-intercept 3 is given by y = m (x – d) 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 ______________________________________________________________________________ y 7 x3 y 7x 21 7x y 21 Question 9: Find angles between the lines 3x y 1 and x+ 3y 1. Solution 9: The given lines are 3x y 1 and x+ 3y 1 1 1 y 3x 1 ... 1 and y=- x ... 2 3 3 1 The slope of line (1) is m1 3 , while the slope of line (2) is m2 . 3 The acute angle i.e., between the two lines is given by tan m m 1 2 1 mm 1 2 3 1 tan 3 1 1 3 3 31 3 2 tan **11** 2 3 1 tan 3 30 Thus, the angle between the given lines is either 30 or 180 30 150 . 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 12 - Introduction

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