Q21 of 50 Page 4

The path of a train A is given by the equation 3x + 4y – 12 = 0 and the path of another train B is given by equation 6 x + 8y – 48 = 0. Represent this situation graphically.

First equation: 3x + 4y – 12 = 0


Taking value of x and obtaining values of y,


At x = 0,


3.0 + 4y = 12, y = 3


At x = 4,


3.4 + 4y = 12, y = 0


Thus, the points to be plotted are,



Second equation: 6x + 8y – 48 = 0


At x = 0,


6.0 + 8y = 48, y = 6


At x = 8,


6.8 + 8y = 48, y = 0


Thus, the points to be plotted are,



Now, plotting the points we get,



More from this chapter

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19

Give the geometrical representation of the equation 2x – 6 = 0 as an equation in

(i) One variable


(ii) Two-variable

 20

Check which of the following are linear equations in two variables:

(i) x2 – y = 2


(ii) x + y = 3


(iii) xy = 9

 22

The sum of a two-digit number and the number obtained by reversing the order of its digits is 121. If units and ten’s digit of the number of x and y respectively, then write the linear equation representing the above statement.

 23

If the graph of 4x + 3y = 12, cuts the coordinate axes at A and B. And if O is the origin, find the hypotenuse of ΔAOB.