Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ 1 , 5 13 13 is the point of the intersection of the two given lines. 1 5 Since equation (1) passes through point , 13 13 , 1 5 a 13 13 6 a 13 Equation (1) becomes x + y = 6 , i.e., 13x + 13y = 6. 13 Thus, the required equation of the line 13x+13y=16. Question 13: Show that the equation of the line passing through the origin and making an angle with the line Y = mx + cis y x = m tan 1 mtan Solution 13: Let the equation of the line passing through the origin be y = mx. 1 If this line makes an angle of with line y = mx + c, then angle is given by m1 m tan 1 mm 1 y m tan x y 1 m x y m tan x y 1 m x y y m m tan x or tan x y y 1 m 1 m x x y m tan x y 1 m x 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 ______________________________________________________________________________ Case I: y m tan x y 1 m x y y tan mtan m x x y m tan (1 mtan ) x y m tan x 1 mtan x m y tan y 1 m x Case II: y m tan x y 1 m x y y tan mtan m x x y 1 mtan m tan x y m tan x 1 mtan y m Therefore , the required line is given by tan x 1 mtan Question 14: In what ratio, the line joining (-1, 1) and (5, 7) is divisible by the line x + y = 4? Solution 14: The equation of the line joining the points (-1, 1) and (5, 7) is given b y 71 y1 x1 51 6 y1 x1 6 xy2 0 ... 1 The equation of the given line is X + y – 4 = 0 …(2) The points of intersection of line (1) and (2) 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 12 - Introduction

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