Question 1 :
The point (0, 3) lies on the graph of the linear equation 3x + 4y = 12. State true or false.
Question 3 :
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation $C = \frac {5F - 160}{9}$ . If the temperature is 0°C what is the temperature in Fahrenheit ?
Question 4 :
Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation. State true or false.
Question 6 :
The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point :
Question 7 :
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 $y = \frac {9}{5}$ (x - 273) + 32 . Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is 313°K.
Question 8 :
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation $C = \frac {5F - 160}{9}$ . If the temperature is 35°C, what is the temperature in Fahrenheit?
Question 9 :
Any solution of the linear equation 2x + 0y + 9 = 0 in two variables is of the form :
Question 10 :
At what point the graph of the equation 3x + 4y = 12 cuts the x-axis ?
Question 11 :
Determine the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is 1$\frac {1}{2}$ times its abscissa.
Question 12 :
If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is :
Question 13 :
The point of the form (a, a) always lies on :
Question 14 :
At what point does the graph of the linear equation x + y = 5 meet a line which is parallel to the y-axis, at a distance 2 units from the origin and in the positive direction of x-axis ?
Question 15 :
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation $C = \frac {5F - 160}{9}$ . What is the numerical value of the temperature which is same in both the scales?
Question 16 :
How many linear equations in x and y can be satisfied by x = 1 and y = 2?
Question 17 :
The point of the form (a, – a) always lies on the line :
Question 18 :
How many solution(s) of the equation 2x + 1 = x – 3 are there on the number line ?
Question 19 :
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation :
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d144f59b460d7261f40b.PNG' />
In the above figure, a graph is shown. The graph represents the linear equation x = 3. True or false ?
Question 22 :
State true or false: An equation is a statement in which one expression equals to another expression.
Question 23 :
Any point on the line y = x is of the form :
Question 24 :
The linear equation 3x – y = x – 1 has :
Question 25 :
At what point the graph of the equation 3x + 4y = 12 cuts the y-axis ?
Question 26 :
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation $C = \frac {5F - 160}{9}$ . If the temperature is 86°F, what is the temperature in Celsius?
Question 27 :
The line parallel to the y-axis at a distance 4 units to the left of y-axis is given by the equation x = – 4. State true or false.
Question 28 :
How many solution(s) of the equation 2x + 1 = x – 3 are there on the cartesian plane ?
Question 29 :
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 $y = \frac {9}{5}$ (x - 273) + 32 . If the temperature is 158° F, then find the temperature in Kelvin.
Question 30 :
A linear equation in two variables is of the form ax + by + c = 0, where :
Question 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d147f59b460d7261f40f.PNG' />
In the above figure, a table is shown. The coordinates of points given in the table represent some of the solutions of the equation 2x + 2 = y. State true or false.
Question 33 :
x = 5, y = 2 is a solution of the linear equation :
Question 34 :
The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point :
Question 35 :
The graph of every linear equation in two variables is a ________.
Question 36 :
State true or false: An equation of the form ax + by + c = 0, where a, b and c are real numbers such that a $\neq$ 0 and b $\neq$ 0, is called a linear equation in two variables.
Question 37 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d143f59b460d7261f40a.PNG' />
In the above figure, a graph is shown. This graph represents the linear equation x + y = 0. True or false ?
Question 38 :
The positive solutions of the equation ax + by + c = 0 always lie in the :
Question 40 :
The equation 2x + 5y = 7 has a unique solution, if x, y are :
Question 41 :
A linear equation 2x + 3y = 5 has a unique solution. State true or false.
Question 42 :
Determine the point on the graph of the equation 2x + 5y = 20 whose x-coordinate is $\frac {5}{2}$ times its ordinate.
Question 43 :
State true or false: Every solution of the linear equation can be represented by a unique point on the graph of the equation.
Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d145f59b460d7261f40c.PNG' />
In the above figure, a table is shown. The coordinates of points in the table represent some of the solutions of the equation x – y + 2 = 0. True or false ?
Question 45 :
Find the solution of the linear equation x + 2y = 8 which represents a point on y-axis.
Question 46 :
If the point (3, 4) lies on the graph of 3y = ax + 7, then find the value of a.
Question 47 :
State true or false: ax + by + c = 0, where a, b and c are real numbers, is a linear equation in two variables.
Question 49 :
How many solution(s) does a linear equation in two variables have ?
Question 51 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d12af59b460d7261f3e5.PNG' />
In the above figure, what are the coordinates of T?
Question 52 :
State true or false: The coordinate axes divide the plane into four parts called quadrants.
Question 53 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b4f59b460d7261f4ac.png' />
According to the figure above, what is the point identified by the coordinates (–3, –5)?
Question 54 :
The points whose abscissa and ordinate have different signs will lie in
Question 56 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d130f59b460d7261f3ee.PNG' />
In the above figure, what are the points whose ordinate is 0?
Question 57 :
The point whose ordinate is 4 and which lies on y-axis is
Question 59 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d12ef59b460d7261f3eb.PNG' />
In the above figure, LM is a line parallel to the y-axis at a distance of 3 units. What is the difference between the abscissa of the points L and M?
Question 60 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d12df59b460d7261f3ea.PNG' />
In the above figure, LM is a line parallel to the y-axis at a distance of 3 units. What are the coordinates of the point Q?
Question 61 :
State true or false: The coordinates of the origin are (0, 0).
Question 62 :
In which quadrant or on which axis does the point (–1, 0) lie?
Question 63 :
In which quadrant will the point lie, if the ordinate is 5 and the abscissa is – 3?
Question 64 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b8f59b460d7261f4b1.png' />
According to the figure above, what is the ordinate of the point H?
Question 65 :
State true or false: The perpendicular distance of the point (4, 3) from the x-axis is 4.
Question 66 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b0f59b460d7261f4a5.png' />
According to the figure above, what are the coordinates of A?
Question 67 :
If a point is in the 3rd quadrant, then the point will be in the form-
Question 68 :
What are the coordinates of a point which lies on x and y axes both?
Question 69 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b0f59b460d7261f4a6.png' />
According to the figure above, what are the coordinates of B?
Question 71 :
What is the name of the point where the two axes intersect?
Question 72 :
If P (5, 1), Q (8, 0), R (0, 4), S (0, 5) and O (0, 0) are plotted on the graph paper, then the point(s) on the x-axis are
Question 73 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b5f59b460d7261f4ad.png' />
According to the figure above, what are the coordinates of B?
Question 74 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b6f59b460d7261f4ae.png' />
According to the figure above, what is the point identified by the coordinates (2, –4)?
Question 75 :
In which quadrant or on which axis does the point (2, 2) lie?
Question 76 :
If a point is in the 1st quadrant, then the point will be in the form-
Question 77 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d124f59b460d7261f3dd.PNG' />
According to the above figure, what is the abscissa of the point H?
Question 78 :
Plot the following points and check whether they are collinear or not : (1, 3), (– 1, – 1), (– 2, – 3)?
Question 79 :
The system used for describing the position of a point in a plane is known as the ______________.
Question 80 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b9f59b460d7261f4b2.png' />
According to the figure above, what are the coordinates of the point L ?
Question 81 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d126f59b460d7261f3df.PNG' />
In the above figure, coordinates of P are
Question 82 :
If a point is in the 2nd quadrant, then the point will be in the form-
Question 83 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d129f59b460d7261f3e3.PNG' />
In the above figure, what are the coordinates of R?
Question 84 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1adf59b460d7261f4a1.png' />
According to the fig above -The abscissa and the ordinate of the point B are _ _ _ and _ _ _, respectively.
Question 85 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d129f59b460d7261f3e4.PNG' />
In the above figure, what are the coordinates of S?
Question 86 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d128f59b460d7261f3e2.PNG' />
In the above figure, what are the coordinates of Q?
Question 87 :
State true or false: The coordinates of a point whose ordinate is $-\frac{1}{2}$ and abscissa is 1 are $\left(-\frac{1}{2},1\right)$.
Question 88 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b4f59b460d7261f4ab.png' />
According to the figure above, what are the coordinates of C?
Question 89 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d12bf59b460d7261f3e6.PNG' />
In the above figure, what are the coordinates of O?
Question 90 :
The perpendicular distance of the point P (3, 4) from the y-axis is
Question 91 :
What is the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
Question 92 :
What are the coordinates of a point whose abscissa is 5 and which lies on x-axis?
Question 93 :
In which quadrant or on which axis does the point (1, 2) lie?
Question 94 :
If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has
Question 95 :
If a point is in the 4th quadrant, then the point will be in the form-
Question 96 :
In which quadrant or on which axis does the point (3, –1) lie?
Question 97 :
Signs of the abscissa and ordinate of a point in the second quadrant are respectively
Question 98 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1aef59b460d7261f4a3.png' />
According to the fig above -The x-coordinate and the y-coordinate of the point M are _ _ _ and _ _ _, respectively.
Question 99 :
A point both of whose coordinates are negative will lie in
Question 100 :
State true or false: Coordinates of a point on the x-axis are of the form (y, 0) and that of the point on the y-axis is of the form (0, x).
