Exercise-4.1

1. By comparing the ratios a_{1}/a_{2}, b_{1}/b_{2}, c_{1}/c_{2} state whether the lines represented by the follow pairs of linear equations intersect at a point/are parallel/ are coincident.

a) 5x - 4y + 8 = 1
7x + 6y - 9 = 0

b) 9x + 3y + 12 = 0
18x + 6y + 24 = 0

2.Check whether the following equations are consistent or inconsistent. Solve them graphicaly

a) - 3r + 2y - 5
2 - 3y = 7

b) 5x - 3y = 11
- 10r + 6v = - 22

c) 2x - 3y = 8
4x - 6y = 9

D) - 4/3 * x + 2y = 8
2x + 3y = 12

E) 2x + y - 6 = 0
4x - 2y - 4 = 0

3. Neha went to a shop to purchase some pants and skirts. When her friend asked her how many of each she had bought, she answered, "the number of skirts are two less than twice the number of pants purchased and the number of skirts is four less than four times the number of pants purchased."

Help her friend to find how many pants and skirts Neha bought.

4. 10 students of Class-X took part in a mathematics quiz. If the number of girls is 4 more 4.than the number of boys, then find the number of boys and the number of girls who took part in the quiz.

5 pencils and 7 pens together cost 750 whereas 7 pencils and 5 pens together cost t Find the cost of one pencil and that of one pen.

6. Half the perimeter of a rectangular garden is 36 m. If the length is 4m more than its with then find the dimensions of the garden.

7. We have a linear equation 2x + 3y - 8 = 0 . Write another linear equation in two variable x and y such that the graphical representation of the pair so formed is intersecting lines.

Now, write two more linear equations so that one forms a pair of parallel lines and t second coincident line with the given equation.



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