Question 11 Mark
Write the equation of the line that is parallel to y-axis and passing through the point:
(3, 5)
(3, 5)
Answer
View full question & answer→The equation of the line that is parallel to y-axis and passing through (3, 5) will be x = 3.
Questions
1 Mark Question
Take a timed test
27 questions · self-marked practice — reveal the answer and mark yourself.
Question 21 Mark
Write the equation of the line that is parallel to x-axis and passing through the point:
(0, 3)
(0, 3)
Answer
View full question & answer→The equation of the line that is parallel to x-axis and passing through the point (0, 3) is y = 3.
Question 31 Mark
Write the following as an equation in two variables:$5\text{x}=\frac{7}{ 2}$
Answer
View full question & answer→We are given,$5\text{x}=-\frac{7}{ 2}$
Now, in two variable forms the given equation will be$5\text{x}+0\text{y}+\frac{7}{2} = 0$
$10\text{x}+0\text{y}-7=0$
Now, in two variable forms the given equation will be$5\text{x}+0\text{y}+\frac{7}{2} = 0$
$10\text{x}+0\text{y}-7=0$
Question 41 Mark
Write the equation of the line that is parallel to x-axis and passing through the point:
(2, -5)
(2, -5)
Answer
View full question & answer→The equation of the line that is parallel to x-axis and passing through the point (2, -5) is y = -5
Question 51 Mark
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in case:
3x = -7y
3x = -7y
Answer
View full question & answer→We are given,
3x = -7y
3x + 7y = 0
Comparing the given equation with ax+ by + c = 0,
We get, a = 3; b = 7; c = 0
3x = -7y
3x + 7y = 0
Comparing the given equation with ax+ by + c = 0,
We get, a = 3; b = 7; c = 0
Question 61 Mark
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid ₹ 27 for a book kept for seven days. If fixed charges are ₹ x and per day charges are ₹ y. Write the linear equation representing the abvoe information.
Answer
View full question & answer→Total charges paid by Aarushi is given by
27 + x = 4y
⇒ x + 4y = 27
This is the required linear equation for the given information.
27 + x = 4y
⇒ x + 4y = 27
This is the required linear equation for the given information.
Question 71 Mark
Give the equations of two lines passing through (3, 12) How many more such lines are there, and why?
Answer
View full question & answer→We observe that x = 3 and y = 12 is the solution of the following equations
4x - y = 0 and 3x - y + 3 = 0
So, we get the equations of two lines passing through (3, 12) are, 4x - y = 0 and 3x - y + 3 = 0.
We know that passing through the given point infinitely many lines can be drawn. So, there are infinitely many lines passing through (3, 12)
4x - y = 0 and 3x - y + 3 = 0
So, we get the equations of two lines passing through (3, 12) are, 4x - y = 0 and 3x - y + 3 = 0.
We know that passing through the given point infinitely many lines can be drawn. So, there are infinitely many lines passing through (3, 12)
Question 81 Mark
From the choices given below, choose the equation whose graph is given in Fig.
[Hint: Clearly (2, 0) and (-1, 3) satisfy the equation y = -x + 2]
- y = x + 2
- y = x - 2
- y = -x + 2
- x = 2y = 6
[Hint: Clearly (2, 0) and (-1, 3) satisfy the equation y = -x + 2]
Answer
View full question & answer→Clearly (2, 0) and (-1, 3) satisfy the equation y = -x + 2.$\therefore$ The equation whose graph is given is y = -x + 2.
Question 91 Mark
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in case:$\text{y}=\frac{\text{x}}{2}$
Answer
View full question & answer→We are given,
$\text{y}=\frac{\text{x}}{2}$
Taking L.C.M ⇒ x - 2y = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 1; b = -2; c = 0
$\text{y}=\frac{\text{x}}{2}$
Taking L.C.M ⇒ x - 2y = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 1; b = -2; c = 0
Question 101 Mark
Write the following as an equation in two variables:
y = 3
y = 3
Answer
View full question & answer→We are given,
y = 3
Now, in two variable forms the given equation will be
0x + y - 3 = 0
y = 3
Now, in two variable forms the given equation will be
0x + y - 3 = 0
Question 111 Mark
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in case:
4 = 3x
4 = 3x
Answer
View full question & answer→We are given,
4 = 3x
3x - 4 = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 3; b = 0; c = -4
4 = 3x
3x - 4 = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 3; b = 0; c = -4
Question 121 Mark
From the choices given below, choose the equation whose graph is given in Fig.
[Hint: Clearly, (-1, 1) and (1, -1) satisfy the equation x + y = 0]
- y = x
- x + y = 0
- y = 2x
- 2 + 3y = 7x
[Hint: Clearly, (-1, 1) and (1, -1) satisfy the equation x + y = 0]
Answer
View full question & answer→Clearly (-1, 1) and (1, -1) satisfy the equation x + y = 0$\therefore$ The equation whose graph is given is x + y = 0.
Question 131 Mark
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in case:
-2x + 3y = 12
-2x + 3y = 12
Answer
View full question & answer→We are given,
-2x + 3y = 12
-2x + 3y - 12 = 0
Comparing the given equation with ax + by + c = O
We get, a = -2; b = 3; c = -12
-2x + 3y = 12
-2x + 3y - 12 = 0
Comparing the given equation with ax + by + c = O
We get, a = -2; b = 3; c = -12
Question 141 Mark
Write the equation representing x-axis.
Answer
View full question & answer→The equation of line representing x-axis is given by y = 0
Question 151 Mark
Write the equation of the line that is parallel to x-axis and passing through the point:
(0, -4)
(0, -4)
Answer
View full question & answer→The equation of the line that is parallel to x-axis and passing through the point (0, -4) is y = -4.
Question 161 Mark
Write the equation of the line that is parallel to x-axis and passing through the point:
(3, 4)
(3, 4)
Answer
View full question & answer→The equation of the line that is parallel to x-axis and passing through the point (3, 4) is y = 4.
Question 171 Mark
A three-wheeler scooter charges ₹ 15 for first kilometer and ₹ 8 each for every subsequent kilometer. For a distance of x km, an amount of ₹ y is paid. Write the Linear equation representing the above information.
Answer
View full question & answer→Total fare of ₹ y for covering distance of x kilometres is given by
y = 15 + 8(x - 1)
⇒ y = 15 + 8x - 8
⇒ y = 8x + 7
This is the required linear equation for the given information.
y = 15 + 8(x - 1)
⇒ y = 15 + 8x - 8
⇒ y = 8x + 7
This is the required linear equation for the given information.
Question 181 Mark
Write the following as an equation in two variables:
2x = -3
2x = -3
Answer
View full question & answer→We are given,
2x = -3
Now, in two variable forms the given equation will be
2x + 0y + 3 = 0
2x = -3
Now, in two variable forms the given equation will be
2x + 0y + 3 = 0
Question 191 Mark
Write the equation of the line that is parallel to y-axis and passing through the point:
(4, 0)
(4, 0)
Answer
View full question & answer→The equation of the line that is parallel to y-axis and passing through (4, 0) will be x = 4.
Question 201 Mark
Write the equation representing y-axis.
Answer
View full question & answer→The equation of line representing y-axis is given by x = 0
Question 211 Mark
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in case:$2\text{x} + 3\text{y} = 9.3\overline5$
Answer
View full question & answer→We are given,$2\text{x} + 3\text{y} = 9.3\overline5$
2x + 3y - 9.35 = 0 Comparing the given equation with ax + by + c = 0 We get, a = 2; b = 3; c = -9.35
2x + 3y - 9.35 = 0 Comparing the given equation with ax + by + c = 0 We get, a = 2; b = 3; c = -9.35
Question 221 Mark
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in case:$\text{x}-\frac{\text{y}}{2}-5=0$
Answer
View full question & answer→We are given,$\text{x}-\frac{\text{y}}{2}-5=0$
Comparing the given equation with ax + by + c = 0, We get, a = 1; $\text{b} =-\frac{1}{2},$ c = -5
Comparing the given equation with ax + by + c = 0, We get, a = 1; $\text{b} =-\frac{1}{2},$ c = -5
Question 231 Mark
Write the following as an equation in two variables:$\text{y}=\frac{3}{ 2}\text{x}$
Answer
View full question & answer→We are given,
$\text{y}=\frac{3}{ 2}\text{x}$ (Taking L.C.M on both sides)
Now, in two variable forms the given equation will be
3x - 2y + 0 = 0
$\text{y}=\frac{3}{ 2}\text{x}$ (Taking L.C.M on both sides)
Now, in two variable forms the given equation will be
3x - 2y + 0 = 0
Question 241 Mark
Write the equation of the line that is parallel to y-axis and passing through the point:
(-4, -3)
(-4, -3)
Answer
View full question & answer→The equation of the line that is parallel to y-axis and passing through (-4, -3) will be x = -4.
Question 251 Mark
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in case:
y - 5 = 0
y - 5 = 0
Answer
View full question & answer→We are given,
y - 5 = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 0; b = 1; c = -5
y - 5 = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 0; b = 1; c = -5
Question 261 Mark
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in case:
2x + 3 = 0
2x + 3 = 0
Answer
View full question & answer→We are given,
2x + 3 = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 2; b = 0; c = 3
2x + 3 = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 2; b = 0; c = 3
Question 271 Mark
Write the equation of the line that is parallel to y-axis and passing through the point:
(-2, 0)
(-2, 0)
Answer
View full question & answer→The equation of the line that is parallel to y-axis and passing through (-2, 0) will be x = -2.