Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ X = 1 and y = 3 Let point (1, 3) divide the line segment joining (-1, 1) and (5, 7) in the ratio 1 : k. Accordingly, by section formula, 1 1(5) k1 17 k 1,3 , 1k 1k k5 k7 1,3 , 1 k 1 k k5 k7 1, 3 1k 1k k 5 1 1 k k51 k 2k 4 k 2 Thus, the line joining the points (-1, 1) and (5, 7) id divided by line x + y = 4 in the ratio 1:2. Question 15: Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x – y = 0. Solution 15: The given lines are 2x – y = 0 …(1) 4x + 7y + 5 = 0 …(2) A (1, 2) is a point on line (1). Let B be the point intersection of line (1) and (2). On solving equations (1) and (2), we obtain 5 5 x and y 18 9 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 ______________________________________________________________________________ 5 5 Coordinates of point B are , 18 9 . By using distance formula, the distance between points A and B can be obtained as 2 2 2 2 2 2 5 5 AB 1 2 units 18 9 23 23 units 18 9 23 23 units 29 9 2 2 2 23 1 23 units 9 2 9 2 23 1 1 units 9 4 23 5 units 9 4 23 5 units 9 2 23 5 units 18 Thus, the required distance is 23 5 18 units . Question 16: Find the direction in which a straight line must be drawn through the points (-1, 2) so that its point of intersection with line x + y = 4 may be at a distance of 3 units from this point. Solution 16: Let Y = mx + c be the line through point (-1, 2). Accordingly, 2 = m(-1) + c. 2 m c c m2 y mx m2 ...(1) The given line is X + y = 4 …(2) 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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