Type Here to Get Search Results !

# Linear Equation In Two Variables- MCQ Class 9

LINEAR EQUIATION IN TWO VARIABLE - MCQ test 1

Q1. Find the value of k, if x = 1, y = 2 is a solution of the equation 2x + 3y = k.

5

6

7

8

Q2. Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:

4/3

5/3

5

7

Q3. The graph of linear equation x+2y = 2, cuts the y-axis at:

(0,2)

(0,1)

(1,2)

(2,2)

Q4.The solution of equation 8x-2y=4 is

(1,2)

(0,3)

(2,3)

(2,1)

Q5. The taxi fare in a city is as follows: For the first kilometre, the fare is ₹ 8 and for the subsequent distance it is ₹ 5 per km. Taking the distance covered as x km and total fare as ₹ y, write a linear equation for this information.

y = 5x -3 3

y = 5x + 3

y = 2x + 3

None of these

Q6. The equation y = 5, in two variables, can be written as:

1 .x + 1 .y = 5

0 .x + 1 .y = 5

0 .x + 0 .y = 5

1 .x + 0 .y = 5

Q7. Any point on the x-axis is of the form:

(x,0)

(0,0)

(0,X)

nONE OF THESE

Q8.The negative solutions of the equation ax + by + c = 0 always lie in the:

1st Quadrent

2nd Quadrent

3rd Quadrent

4th Quadrent

Q9. Equation y=3x+5 has ..........

Unique solution

Infinite many solutions

Two solutions

None of these

Q10.The graph of the linear equation 2x + 3y = 6 cuts the Y-axis at the point

(2,2)

(2,0)

(0,2)

None of these

Q11.Any point on the line y = x is of the form

(0, a)

(a, 0)

(a, a)

None of these

Q12.If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation

changes

remains the same

Only changes in case of multiplication

Only changes in case of division

Q13.The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have

a unique solution

infinitely many solutions

no solution

two solutions

Q14. Find the x-intersept of equation"3x + 4y = 12"

6

4

2

0

Q15. x = 0 represents

x - axis

y - axis

origin

none

Q16. The distance between the graph of the equation x = -3 and x = 2 is

1

2

3

5

Q17. The distance between the graphs of the equations y = -1 and y = 3 is

2

4

6

8

Q18. If the graph of the equation 24x + 7y = 168 cuts the coordinate axes at A and B, then hypotenuse of the right angle triangle AOB is length of:

7

24

15

25

Q19. What would be the area of triangle formed by line 3x + 4y = 12 and coordinate axes.

3

4

5

6

Q20. Which of the following equation has parallel graph to the graph of eqaution x + 2y = 5.

7x + y = 10

2x + 4y = 10

2x - 4y =5

None Of These