Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ 1 3m m 2 13m 1 1 m 2 3m 12m 13m m2 3m 12m 13m m 2 3m 12m 3m 12m or 13m m 2 13m m 2 3m 12m If , then 13m m2 3mm 2 1 2m1 3m m m6 1m6m 2 2 2 5m 5 0 2 m 1 0 m m6 1m6m 2 2 2 5m 5 0 2 m 1 0 3m 12m If , then 13m m2 3 mm 2 1 2m1 3m m m6 1 m6m 2 2 2 7m 2m 7 0 2 44 7 7 m 27 22 149 m 14 15 2 m 7 15 2 Thus, the required value of m is 7 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 20: If sum of the perpendicular distance of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10. Show that P must move on a line. Solution 20: The equation of the given lines are x + y – 5 = 0…(1) 3x – 2y + 7 = 0…(2) The perpendicular distance of P (x, y) from lines (1) and (2) are respectively given by x y 5 3x 2y 7 d1 and d 2 2 2 2 2 1 1 3 2 x y 5 3x 2y 7 i. e., d1 and d2 2 13 It is given that d d 10 1 2 x y 5 3x 2y 7 10 2 13 13 x y 5 2 3x 2y 7 10 26 0 x y x y x y x y 13 5 2 3 2 7 10 26 0 Assuming 5 and 3 2 7 are positive 13x 13y 5 13 3 2x 2 2y 7 2 10 26 0 y x 13 3 2 13 2 2 7 2 5 13 10 26 0 , which is the equation of a line. Similarly, we can obtain the equation of line for any signs of (x + y – 5) and (3x – 2y + 7). Thus, point P must move on a line. Question 21: Find equation of the line which is equidistant from parallel lines 9x + 6y – 7=0 and 3x + 2y + 6 = 0. Solution 21: The equation of the given lines are 9x + 6y – 7=0 …(1) 3x + 2y + 6 = 0 …(2) Let p(h, k) be the arbitrary point is equidistant from lines (1) and (2). The perpendicular distance of P (h, k) from line (1) is given by 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 4 - Principle of M

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Class XI Chapter 12 - Introduction

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Class XI Chapter 15 - Statistics Ma

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