The graph of the linear equation 2x + 3y = 6 meets the y-axis at the point.
- A(0, 3)
- B(2, 0)
- C(3, 0)
- D(0, 2)
Question types
Linear Equations in Two Variables question types
220 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
220
Questions
6
Question groups
5
Question types
01
M.C.Q
170 Q→02True False[1 Marks ]
7 Q→031 Marks Question
25 Q→04Match the Following.
2 Q→052 Marks Questions
11 Q→06Case study (4 Marks)
5 Q→Sample Questions
Linear Equations in Two Variables questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The graph of the equation x + y = 4.
- AIntersects both the axis.
- BParallel to the x-axis.
- CIntersects x-axis only.
- DIntersects y-axis only.
If the point (3, 4) lies on the graph of 3y = ax + 6, then the value of 'a' is:
- A0
- B3
- C1
- D2
The point of the form (a, –a) always lies on the line:
- Ax = a
- By = –a
- Cy = x
- Dx + y = 0
The graph of the linear equation 4x + 2y = 12, cuts the x-axis at the point:
- A(3, 0)
- B(0, -2)
- C(-2, 0)
- D(0, 3)
The graph of every linear equation in two variables need not be a line.
The point (0, 3) lies on the graph of the linear equation 3x + 4y = 12.
The boundaries of the solids are curves.
Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.
Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y =k.
Find whether (1, 1) is the solution of the equation x – 2y = 4 or not.
Find whether(4, 0) is the solution of the equation x – 2y = 4 or not?
Find whether (2, 0) is the solution of the equation x – 2y = 4 or not?
Which one of the options is true, and why? y = 3x + 5 has
| Column 1 | Column 2 | ||
| Q.1. | Solve for y in 4x = 2y - 7=__________ | A. | $\frac{(3 x-12)}{2}$ |
| Q.2. | solve for y in 3x - 2y = 12 =__________ | B. | $\frac{12-3 x}{2}$ |
| C. | $2 x+\frac{7}{2}$ |
| Column 1 | Column 2 | ||
| Q.1. | Convert 3y - 2x - 60 =0 into y-form | A. | $y=\frac{(10 - 5 x)}{2}$ |
| Q.2. | Convert 5x + 2y = 10 into y-form | B. | $y=\frac{2 x - 60}{3}$ |
| C. | $y=\frac{2 x + 60}{3}$ |
Find whether $(\sqrt{2},4\sqrt{2})$ is the solution of the equation x – 2y = 4 or not?
View full solution →Find whether (0, 2)is the solution of the equation x – 2y = 4 or not?
Write four solutions of the equation: x = 4y.
Write four solutions of the equation: $\pi$x + y = 9
View full solution →Write four solutions of the equation: 2x + y = 7
2. A carton contains both fragrant and non-fragrant liquid soap bottles.
Write an equation representing the number of fragrant and non-fragrant bottles in the carton.
Write an equation representing the number of fragrant and non-fragrant bottles in the carton.
Sodium silicate is one of the constituents in liquid soap. The graph shows the amount of sodium
silicate in liquid soap.
silicate in liquid soap.
5. How much sodium silicate (ml) is used for making 10 L of soap?
A. 100
B. 110
C. 1000
D. 10000
6. Write an equation to show the relation between quantities of sodium silicate and liquid soap.
1. A soap manufacturer makes fragrant and non-fragrant liquid soaps. The liquid soaps are illed in plastic bottles and packed in equal size cartons for transportation. Each carton contains 50 bottles. The mass of a full bottle of soap is 220 gm and that of a half-illed bottle is 120 gm. What will be the mass (gm) of the empty bottle?
A. 10
B. 20
C. 100
D. 110
A. 10
B. 20
C. 100
D. 110
4. The soap bottles are available in small and large sizes.
A carton with 10 small and 40 large bottles weighs 10.8 kg. What is the mass of the carton with 50 large bottles?
A carton with 10 small and 40 large bottles weighs 10.8 kg. What is the mass of the carton with 50 large bottles?
3. A carton is checked randomly. Which of the following cannot be the number of fragrant and nonfragrant liquid bottles in the carton?
A. (5, 45)
B. (15, 35)
C. (20, 30)
D. (30, 40)
A. (5, 45)
B. (15, 35)
C. (20, 30)
D. (30, 40)
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