Write whether True or False and justify your answer. The graph given below represents the linear equation x = 3.
Question types
Linear Equations in Two Variables question types
26 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
26
Questions
5
Question groups
5
Question types
01
M.C.Q
7 Q→022 Marks Questions
8 Q→033 Marks Question
6 Q→045 Marks Questions
2 Q→054 Marks Questions
3 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.
View full solution →
Write whether True or False and justify your answer.
The coordinates of points in the table.
represent some of the solutions of the equation x – y + 2 = 0.
The coordinates of points in the table.
| x | 0 | 1 | 2 | 3 | 4 |
| y | 2 | 3 | 4 | -5 | 6 |
Write whether True or False and justify your answer.
Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.
Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.
Write whether True or False and justify your answer.
The graph of every linear equation in two variables need not be a line.
The graph of every linear equation in two variables need not be a line.
Write whether True or False and justify your answer. The graph given below represents the linear equation x + y = 0.
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation,
$\text{C}=\frac{5\text{F}-160}{9}$
What is the numerical value of the temperature which is same in both the scales?
View full solution →$\text{C}=\frac{5\text{F}-160}{9}$
What is the numerical value of the temperature which is same in both the scales?
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation,
$\text{c}=\frac{5\text{F}-160}{9}$
If the temperature is 86°F, what is the temperature in Celsius?
View full solution →$\text{c}=\frac{5\text{F}-160}{9}$
If the temperature is 86°F, what is the temperature in Celsius?
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation,
$\text{c}=\frac{5\text{F}-160}{9}$
If the temperature is 35°C, what is the temperature in Fahrenheit?
View full solution →$\text{c}=\frac{5\text{F}-160}{9}$
If the temperature is 35°C, what is the temperature in Fahrenheit?
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation,
$\text{c}=\frac{5\text{F}-160}{9}$
If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?
View full solution →$\text{c}=\frac{5\text{F}-160}{9}$
If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?
Let y varies directly as x. If y = 12 when x = 4, then write a linear equation. What is the value of y when x = 5?
How many solution(s) of the equation 2x + 1 = x – 3 are there on the:
- Number line
- Cartesian plane?
Show that the points A(1, 2), B(-1, -16) and C(0, -7) lie on the graph of the linear equation y = 9x - 7.
Draw the graph of the equation represented by a straight Line which is parallel to the X-axis and at a distance 3 units below it.
If the point (3, 4) lies on the graph of 3y = ax + 7, then find the value of a.
If the temperature of a liquid can be measured in kelvin units as x°K or in fahrenheit units as y°F, the relation between the two systems of measurement of temperature is given by the linear equation.
$\text{y}=\frac{9}{5}(\text{x}-273)+32$
View full solution →$\text{y}=\frac{9}{5}(\text{x}-273)+32$
- find the temperature of the liquid in fahrenheit, if the temperature of the liquid is 313K.
- If the temperature is 158°F, then find the temperature in kelvin.
The following observed values of x and y are thought to satisfy a linear equation. Write the linear equation
Draw the graph, using the values of x, y as given in the above table. At what points the graph of the linear equation
| x | 6 | -6 |
| y | -2 | 6 |
- Cuts the X-axis?
- Cuts the Y- axis?
Draw the graphs of linear equations y = x and y = -x on the same Cartesian plane.
What do you observe?
What do you observe?
The force exerted to pull a cart is directly proportional to the acceleration produced in the body. Express the statement as a linear equation of two variables and draw the graph of the same by taking the constant mass equal to $6 \ kg$. Read from the graph, the force required when the acceleration produced is:
View full solution →- $5ms^{-2}$
- $6ms^{-2}$
Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units.
Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa.
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