Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ 9h 6k 7 9h 6k 7 9h 6k 7 d1 2 2 9 6 **11**7 3 13 2 The perpendicular distance of P (h, k) from line (2) is given by d 3h 2k 6 3h 2k 6 2 2 3 2 13 Since p(h, k) is equidistant from lines (1) and (2), d 9h 6k 7 3h 2k 6 3 13 13 9h 6k 7 3 3h 2k 6 d 1 2 9h 6k 7 3 3h 2k 6 9h 6k 7 3 3h 2k 6 or 9h 6k 7 3 3h 2k 6 The case 9h 6k 7 3 3h 2k 6 is not possible as 9h 6k 7 3 3h 2k 6 7 18 which is absurd 9h 6k 7 3 3h 2k 6 9h 6k 7 9h 6k 18 18h 12k **11** 0 Thus, the required equation of the line is 18 x12y**11** 0 Question 22: A ray of light passing through the point (1, 2) reflects on the x-axis at point A and the reflected ray passes through the point (5, 3). Find the coordinates of A. Solution 22: Let the coordinates of point A be (a, 0). Draw a line (AL) perpendicular to the X-axis. We know that angle of incidence is equal to angle of reflection. Hence, let 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 ______________________________________________________________________________ BAL CAL Let CAX OAB 180 2 180 2 90 180 180 2 BAX 180 3-0 Now, slope of line AC= 5-a 3 tan ... 1 5 a 2-0 SLope of line AB= 1-a 2 tan 180 1-a 2 tan 1-a 2 tan ... 2 a-1 From equation (1) and (2), we obtain 3 2 5a a-1 3a 3 10 2a 13 a 5 13 Thus, the coordinates of point A are ,0 . 5 Question 23: Prove that the product of the lengths of the perpendiculars drawn from the points 2 2 2 2 x y 2 a b ,0 and - a b ,0 to the line cos sin 1 is b . a b Solution 23: The equation of the given line is x y cos sin 1 a b Or, bxcos aysin ab 0 …(1) Length of the perpendicular from point a 2 b 2 ,0 to line (1) is 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 13 - Limits and De

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Class XI Chapter 15 - Statistics Ma

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