class 9 MCQ ( linear eqation in two variables )


                                              MULTIPLE CHOICE QUESTIONS ( linear equations in two variables ) 

1. The equation 2x+5y =7 has a unique solution, if x, y are:

(a) natural numbers                     (b) positive real numbers

(c) real numbers                          (d) rational numbers

2. The graph of the linear equation 2x+3y=6 cuts the y-axis at the point

(a) (2,0)  (b) (0,3)  (c) (3,0)  (d) (0,2)

3.Any point on the x-axis is of the form

(a) (x, y)  (b) (0, y)  (c) (x, 0)  (d) (x, x)

4. Any point on the line y = x is of the form

(a) (a, a)    (b) (0, a)  (c) (0, -a)  (d) (a, -a)

5.The graph of y = 6 is a line.

(a) parallel to x-axis at a distance 6 units from the origin
(b) parallel to y-axis at a distance 6 units from the origin
(c) making an intercept 6 on the x-axis
(d) making an intercept 6 on both the axes.

6. The graph of the linear equation 2x + 3y =6 is a line which meets the x-axis at the point

(a) (0,2)    (b) (2,0)   (c) (3,0)  (d) (0,3)

7.The graph of the linear equation y = x passes through the point

(a) (3-2)    (b) (o.2)   (c) (1,1)    (d) (-1/2,1/2)

8. How many linear equation in x and y can satisfy x= 1 and y=2?

(a) only one  (b) two   (c) infinitely many   (d) three

        
9.The point of the form (a, a) always lies on:

(a) x-axis    (b) y-axis    (c) on the line y= x    (d) on the line x + y = 0

10. The point of the from (a, -a) always lies on the line

(a) x=a  (b) y = a  (c) y=x    (d) x+y=0  


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