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## Monday, 19 September 2011

### CBSE MATHEMATICS (Class-9) ch-Linear Equation in Two Variables

1.     Find four different solutions of the equation x+2y=6.
2.     Find two solutions for each of the following equations:
(i) 4x + 3y = 12

(ii) 2x + 5y = 0
(iii) 3y + 4=0
3.     Write four solutions for each of the following equations:
(i) 2x + y = 7

(ii) πx + y = 9

(iii) x = 4y.
4.     Given the point (1, 2), find the equation of the line on which it lies. How many such equations are there?
5.     Draw the graph of the equation
(i) x + y = 7
(ii) 2y + 3 = 9
(iii) y - x = 2
(iv) 3x - 2y = 4
(v) x + y - 3 = 0
6.     Draw the graph of each of the following linear equations in two variables:
(i) x + y = 4
(ii) x - y = 2
(iii) y = 3x

(iv) 3 = 2x + y
(v) x - 2 = 0
(vi) x + 5 = 0
(vii) 2x + 4 = 3x + 1.
7.     If the point (3, 4) lies on the graph of the equation 3y=ax+7, find the value of ‘a’.
8.     Solve the equations 2x + 1 = x - 3, and represent the solution(s) on
(i) the number line,
(ii) the Cartesian plane.
9.     Draw a graph of the line x - 2y = 3. From the graph, find the coordinates of the point when
(i) x = - 5

(ii) y = 0.
10.   Draw the graph of y = x and y = - x in the same graph. Also, find the coordinates of the point where the two lines intersect.