## Rotary Pratishthan’s Rotary English Medium School Khed IT WORKSHEET 2010-20 Subject :-Maths Class-13/C Linear equat

Rotary Pratishthan’s

Rotary English Medium School Khed

IT WORKSHEET 2010-20

Subject :-Maths

Class-13/C

Linear equations in two vahabies

Choose and write the correct option in the following questions.

1. The linear equation 2 – By = 7 has

(a) a unique solution

(b) two solutions

() infinitely many solutions

(d) no solution

(a) +y = 3

2. Which of the following represents a line parallel to y-axis?

(6) Se-y2

(e) 4x -3x+1 (d) x + 2 = y

3. (2.0) is a solution of the linear equation 2x + 3y = 1, then the value of his

(d) 2

4. Any solution of the linear equation 2* +0y + 9 = 0 in two variables is of the form

(dl) (-9,0)

5. ICC = 3 + 3t, then the value of t when c = and S = To is

(c) $

(a) +

= 0

(c) 3rd

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

(a) (2,0)

(0) (0, 3)

(c) (3,0)

(d) (0, 2)

7. The equation x = 7, in two variables, can be written as

(a) 1x + 1. y = 7 (b) 1.2 + 0.y = 7 (c) 0.x + 1.y = 7 (d) 0.X + 0.y = 7

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

(b) (0,y)

(c)(x, 0)

(d) (x,x)

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

(a) (a, a)

(b) (0, a)

(c) (a,0)

(d) (a, -a)

10. The equation of x-axis is of the form

(a) x = 0

(b) y

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

11. The point of the form (a, galways lies on the line:

(a) 2x = y

(b) x = 2y

(c) x = y+2 (d) x + 2 = y

12. * = 5, y = 2 is a solution of the linear equation

(a) x + 2y = 7 (b) 5x + 2y = 7 (c) x + y = 7 (d) 5x + y = 7

13. If a linear equation has solutions (-2, 2), (0,0) and (2,-2), then it is of the form

(a) y – x = 0 (b) x + y = 0

(c)-2x + y = 0 (d) -x + 2y = 0

14. The positive solutions of the equation ax + by + c = 0 always lie in the

(a) 1″ quadrant (b) 2nd quadrant

quadrant

(d) 4h quadrant

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

(a) (0, 2)

(6) (2,0)

(c) (0,3)

(d) (3,0)

16. If we multiply or divide both sides of a linear equation with a non-zero number, then the

solution of the linear equation

(a) Changes

(6) Remains the same

(c) Changes in case of multiplication only (d) Changes in case of division only

17. The solution of the equation

+= 5 is

2 3

(c) 4

(d) 7

18. The linear equation 5x =

(a) a unique solution

(b) no solution

(c) two solutions

(d) infinitely many solutions

19. Any point on the y-axis is of the form

(a) (x,0)

(b) (0,y)

(c) (x,x)

20. The equation 2x + y = 4 has a unique solution if x, y are

(a) rational numbers. (b) real numbers

(c) natural numbers (d) positive real numbers

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## Answers ( )

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