9th Linear Equation in two Variable [Guess paper] 2013

9th Linear Equation in two Variable [Sample Guess paper] 2013

[1 Mark Questions]

1. Which of the following is not a linear equation?

(a) ax + by + c = 0                 (b) 0x + 0y + c = 0              

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

2. Age of ‘x’ exceeds age of ‘y’ by 7 yrs. This statement can be expressed as linear equation as  

(a) x + y + 7 = 0                  (b) x – y + 7 = 0      

(c) x – y – 7 = 0                  (d) x + y – 7 = 0

3. Linear equation in one variable is :

(a) 2x = y      (b) y2 = 3y + 5   (c) 4x – y = 5   (d) 3t + 5 = 9t – 7

4. The condition that the equation ax + by + c = 0 represent a linear equation in two variables is

(a) a ≠ 0, b = 0              (b) b ≠ 0, a = 0               

c) a = 0, b = 0               (d) a ≠ 0, b ≠ 0             

5. How many linear equations in x and y can be satisfied by x = 1 and y = 2?

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

6. The general form of a linear equation in two variables is :

(a) ax + by + c = 0, where a, b, c are real  umbers and a, b ≠ 0  

(b) ax + b = 0, where a, b are real numbers and a ≠0

(c) ax² + bx + c = 0, where a, b, c are real numbers and a, b ≠ 0    

(d) none of these

7. The equation of the line whose graph passes through the origin, is :  

(a) 2x + 3y = 1              (b) 2x + 3y = 0  

(c) 2x + 3y = 6             (d) none of these              

[(b){form x = my}]

8. The equation of y-axis is : 

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

[ (b) The equation of y-axis is x = 0 ]

9. The equation of x-axis is : 

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

[(a) The equation of x-axis is y = 0 ]

10. Any point on the x-axis is of the form: 

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

[(c) On x-axis y-coordinate will be 0].

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

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

[(a) Any point on the line y = x is of the form (a, a).

12. The point of the form (a, – a) always lies on the line : 

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

[d) The point (a, – a) always lies on the line x + y = 0.]

13. Equation of the line y = 0 represents: 

(a) y-axis (b) x-axis (c) both x-axis and y-axis (d) origin

[(b) The equation of x-axis is y = 0]

14. The graph of the linear equation 2x + 3y = 9 cuts y-axis at the point : 

(a) 9/2 , 0  (b) (0, 9) (c) (0, 3) (d) (3,1) [C]

15. 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  [C]                      

9th Linear Equation in two Variable [Guess paper] 2013 [2 Marks Questions]

1. The cost of a notebook is twice the cost  of a pen. Write a linear equation in two variables to represent this statement. (Take the cost of a notebook to be Rs x and that of a pen to be Rs y.)

2. Which one of the following options is true, and why? y = 3x + 5 has (i) a unique solution (ii) only two solutions (iii) infinitely many solutions.

[ infinitely many solutions. It is because a linear equation in two variables has infinitely many solutions. We keep changing the value of x and solve the linear equation for the corresponding value of y]

3. Write any four solutions for  (i) 2x + y = 7 or, (ii) x = 4y

4. Check (4, 0) is a solution For the equation x – 2y = 4

5. If (2, 0) is a solution of linear equation 2x + 3y = k, then find the value of k.

6. If the point (2 – 1) lies on the graph of the equation 3x + ky = 4, then find the value of k.

7. Give the geometric representations of y = 3 as an equation 

(i) in one variable (ii) in two variables

8. Check whether the graph of the linear equation x + 2y = 7 passes through the point (0, 7).

9. Mayank and Sujata two students of class IX together contributed Rs 1000 towards PM Relief fund. Write a linear equation satisfying the data

10. The cost of a table exceeds the cost of the chair by Rs 150. Write a linear equation in two variables to represent this statement. Also, find two solutions of the same equation.