Pairs of Linear Equations in Two Variables Exercise 3.1 Solutions
Akhila went to a fair in her village. She wanted to enjoy rides on the Giant Wheel and play Hoopla (a game in which you throw a rig on the items in the stall, and if the ring covers any object completely you get it). The number of times she played Hoopla is half the number of rides she had on the giant wheel. Each ride costs ₹3 and a game of hoopla costs ₹4. If she spent ₹20 in the fair, represent this situation algebraically and graphically. Watch Solution
Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” Is not this interesting? Represent this situation algebraically and graphically. Watch Solution
The path of the train A is given by the equation 3x+4y-12 =0 and the path of another train B is given by the equation 6x+8y-48 =0. Represent this situation graphically. Watch Solution
Gloria is walking along the path joining (-2, 3) and (2, -2), while Suresh is walking along the path joining (0, 5) and (4, 0). Represent this situation graphically. Watch Solution
On comparing the ratios a1/a2 = b1/b2 = c1/c2 and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide: (i) 5x−4y+8=0, 7x+6y−9=0 (ii) 9x+3y+12=0, 18x+6y+24=0 (iii) 6x-3y+10=0, 2x-y+9=0 Watch Solution
Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (i) intersecting lines (ii) parallel lines (iii) Coincident lines Watch Solution
The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300 Represent the situation algebraically and geometrically. Watch Solution
Pair of Linear Equations in Two Variables – R.D. Sharma Class 10th Math
