Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ given by Ax1By 1C d 2 2 A B Therefore, the perpendicular distance (d) of the given line from point x y = (0, 0) is d sin sin 0 cos cos 0 sin 2 2 2 2 2 2 sin sin 2sin sin cos cos 2cos cos 2 2 2 2 sin cos sin cos 2 sin sin cos cos sin **11**2 cos sin 2 1cos sin 22sin 2 sin sin cos cos sin sin 2 sin 2sin 2 1, 1 Question 6: Find the equation of the line parallel to y-axis and draw through the point of intersection of the line x – 7y + 5 = 0 and 3x + y =0. Solution 6: The equation of any line parallel to the y-axis is of the form X = a …(1) The two given lines are X – 7y + 5 = 0 …(2) 3x + y = 0 …(3) 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 ______________________________________________________________________________ On solving equation (2) and (3), we obtain x = - 5 15 and y = 22 22 5 15 Therefore, , 22 22 is the point of intersection of lines (2) and (3). 5 15 Since line x = a passes through point , 22 22 , a = - 5 22 Thus, the required equation of the line is x = - 5 22 Question 7: x y Find the equation of a line drawn perpendicular to the line = 1 through the point, where it 4 6 meets the y-axis. Solution 7: x y The equation of the given line is = 1 4 6 This equation can also be written as 3x + 2y – 12 = 0 y= 3 x + 6, which is of the form y = mx + c 2 Slope of the given line = 3 2 1 2 Slope of line perpendicular to the given line = 3 3 2 Let the given line intersect the y-axis at (0, y). y On Substituting X with 0 in the equation of the given line, we obtain 1 y 6 6 The given line intersects the y-axis at (0, 6). The equation of the line that has a slope of 2 and passes through point (0, 6) is 3 2 y6 ( x0) 3 3y18 2x 2x3y18 0 Thus, the required equation of the line is 2x3y18 0 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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