Class XI Chapter 10 – Straight Lines Maths ______________________________________________________________________________ When x = Rs. 17/liter, y=120 17-14 980 y 120 3980 360 980 1340 Thus, the owner of the milk store could sell 1340 liters of milk weekly at Rs. 17/liter. Question 18: P (a, b) is the mid-point of a line segment between axes. Show that the equation of the line is x y 2. a b Solution 18: Let AB be the line segment between the axes and let P (a, b) be its mid-point. Let the coordinates of A and B be (0, y) and (x, 0) respectively. Since P (a, b) is the mid-point of AB, 0x y0 , , 2 2 ab x y , ab , 2 2 x y a and b 2 2 x2 a and y=2b Thus, the respective coordinates of A and B are (0, 2b) and (2a, 0). The equation of the line passing through points (0, 2b) and (2a, 0) is 02b y-2b x 0 2a 0 2b y 2b x 2a a y 2b bx 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 ______________________________________________________________________________ ay 2ab bx i.e., bx+ay=2ab On dividing both sides by ab, we obtain bx ay 2ab ab ab ab x y 2 a b Question 19: Point R (h, k) divides a line segment between the axes in the ratio 1:2. Find equation of the line. Solution 19: Let AB be the line segment between the axes such that point R (h, k) divides AB in the ratio 1:2. Let the respective coordinates of A and B be (x, 0) and (0, y). Since point R (h, k) divides AB in the ratio 1:2, according to the section formula, 10 2x 1 y20 hk , , 1 2 1 2 2x y hk , , 3 3 2x y h and k 3 3 3h x and y 3 k 2 3 h Therefore, the respective coordinates of A and B are ,0 2 and (0, 3k). 3 h Now, the equation of the line AB passing through points ,0 2 and (0, 3k) 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 12 - Introduction

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