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Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ 3k 0 3h y0 x 3h 0 2 2 2k 3h y x h 2 hy 2kx 3hk i. e.,2kx hy 3hk Thus, the required equation of a line is 2kx hy 3hk Question 20: By using the concept of equation of a line, prove that the three points (3, 0), (-2, -2) and (8, 2) are collinear. Solution 20: In order to show that the points (3, 0), (-2, -2) and (8, 2) are collinear, it suffices to show that the line passing through points (3, 0) and (-2, -2) also passes through point (8, 2). The equation of the line passing through points (3, 0) and (-2, -2) is 20 y0 x3 23 2 y x3 5 5y2x6 i.e., 2x-5y=6 It is observed that at x = 8 and y= 2, L.H.S = 28-5 2=16-10=6=R.H.S . Therefore, the line passing through points (3, 0) and (-2, -2) also passes through point (8, 2). Hence, points (3, 0), (-2, -2), and (8, 2) are collinear. 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 ______________________________________________________________________________ Exercise 10.3 Question 1: Reduce the following equation into slope-intercept form and find their slopes and the y- intercepts. (i)x + 7y = 0 (ii) 6x + 3y - 5 = 0 (iii) y = 0 Solution 1: (i) The given equation is x + 7y = 0. It can be written as 1 y x 0 ... i 7 This equation is of the form y = mx + c, where 1 m and c=0 7 Therefore, equation (1) is the slope-intercept form, where the slope and the y-intercept are and 0 respectively. (ii) The given equation is 6x + 3y – 5 = 0. It can be written as 1 y 6x 5 3 5 y 2 x ... 2 3 This equation is of the form y = mx + c, where m = -2 and c = 5 3 . Therefore, equation (2) s in the slop-intercept form, where the slope and the y-intercept are -2 and 5 3 respectively. (iii) The given equation is y = 0. It can be written as Y = 0.x + 0 …(3) This equation is of the form y = mx + c, where m = 0 and c = 0. Therefore, equation (3) is in the slope-intercept form, where the slope and the y-intercept are 0 and 0 respectively. 1 7 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 1 - Sets Maths ___
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Class XI Chapter 2 - Relations and
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Class XI Chapter 3 - Trigonometric
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Class XI Chapter 4 - Principle of M
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Class XI Chapter 5 - Complex Number
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Class XI Chapter 6 - Linear Inequal
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Class XI Chapter 7 - Permutation an
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Class XI Chapter 8 - Binomial Theor
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Class XI Chapter 9 - Sequences and
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Page 283 and 284: Class XI Chapter 9 - Sequences and
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Class XI Chapter 11 - Conic Section
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Class XI Chapter 12 - Introduction
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Class XI Chapter 13 - Limits and De
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Class XI Chapter 14 - Mathematical
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Class XI Chapter 15 - Statistics Ma
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CLASS_11_MATHS_SOLUTIONS_NCERT

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