Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ The equation of the line passing through point (2,3) and having a slope of 2 3 y-3 = x-2 2 3 1 y x 3 2 x2 3 1 y 4 2 3 6 3 3 3 2 x2 3 1 y 1 8 3 2 3 1 3 2 3 1 2 3 2 3 2 2 3 2 3 1 is In this case, the equation of the other line is 3 2 x + 2 3 1 y = -1 + 8 3 2 3 Case II : m2 2 3 1 2 3 The equation of the line passing through points 2,3 and having a slope of is 2 3 1 2 3 y-3 = x-2 2 3 1 2 3 1 y32 3 1 2 3 1 x 22 3 1 2 3 1 y2 3 1 x 4 2 3 6 3 3 2 3 x2 3 1 y18 3 If this case, the equation of the other line is 2 3 x2 3 1 y18 3 Thus, the required equation of the other line is 3 2 x 2 3 1 y 1 8 3or 2 3 x 2 3 1 y 1 8 3 Question 13: Find the equation of the right bisector of the line segment joining the points (3, 4) and (-1, 2). Solution 13: The right bisector of a line segment bisects the line segment at 90 . The end-points of the line segment are given as A (3, 4) and B (-1, 2). 31 42 Accordingly, mid-point of AB = , 1,3 2 0 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 ______________________________________________________________________________ 24 2 1 Slope of AB = 1 3 4 2 1 Slope of the line perpendicular to AB = = -2 1 2 The equation of the line passing through (1, 3) and having a slope of -2 is (y – 3) = -2 (x-1) Y – 3 = -2x + 2 2x + y = 5 Thus, the required equation of the line is 2x + y = 5. Question 14: Find the coordinates of the foot of perpendicular from the points (-1, 3) to the line 3x – 4y – 16 = 0. Solution 14: Let (a, b) be the coordinates of the foot of the perpendicular from the points (-1, 3) to the line 3x – 4y – 16 = 0. b 3 Slope of the line joining (-1, 3) and (a, b), m 1 = a 1 3 3 Slope of the line 3x – 4y – 16 = 0 or y = x4, m2 4 4 Since these two lines are perpendicular, m1 m 2 = -1 b3 3 1 a 1 4 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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**Magazine:** CLASS_11_MATHS_SOLUTIONS_NCERT

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