Plotting a Straight Line

Q.

A line passing through origin can be represented by an equation

1. x+y =1

2. y=2x

3. y=5x+1

4. y=4x-3

Q.

Which of these is a solution of 2x + 3y = 11?

1. x = 1, y = 3

2. x = -2, y = -5

3. (9, 1)

4. x = 0, y = 5

Q.

A and B have certain number of oranges. If B gives 10 oranges to A then A will have twice the number of oranges left with B.If A gives 10 oranges to B then both have the same same number of oranges.Find the number of oranges with A and B.

1. A = 80, B = 40

2. A = 70, B = 50

3. A = 50, B = 50

4. A = 10, B = 50

Q.

Give two solutions for 3y + 4 = 0

Q. Minimum number of points required to draw a straight line is ______.

1. 0
2. 4
3. 2
4. 3

Q.

Find the age of a child whose age is two-third of his elder brother, after $5$ years he will be four-fifths.

Q. Which of the following is the graph representing 2x - y = 10?

1. 
2. 
3. 
4. 

Q. Draw the graph of y = 3x + 3.
Find the coordinates of the point of interserction of the graph with the axes.

1. (1, 0) and (0, 3)
2. (-1, 0) and (0, -3)
3. (-1, 0) and (0, 3)
4. (1, 0) and (0, -3)

Q.

If the point (4, -2) lies on the graph of 2x=any+3, find the value of a

Q.

What is the solution of the equation: $5x+10y=35?$

1. $(1,3)$

2. $(3,2)$

3. $(5,1)$

4. Infinite pair of values of $x$ and $y$

Q. Which of the following is the solution of the equation 5x - 4y = 1?

1. (2, 3)
2. (1, 1)
3. (-1, 2)
4. (3, -1)

Q.

How will you describe the position of the table lamp on your study table to another person?

​​

Q.

It takes 3 hours for a boat to travel 27 km upstream and the same boat can travel 30 km downstream in 2 hours. The speed of the boat is 12 km/hr

Q.

How many minimum number of points are required to draw a single line ?

1. 1

2. 2

3. 3

4. 4

Q. Question 3
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.

Q. Question 6
Ordinate of all points on the x-axis is

A) 0
B) 1
C) -1
D)​​​​​​​ Any number

Q. Solve $2x+3y=11$ and $2x-4y=-24$ and hence find the value of ${}^{\prime }{m}^{\prime }$ for which $y=mx+3$.

Q.

What is the degree of the equation that represents a straight line on the XY plane?

__

Q.

Choose the correct alternative answer for the following question.

Any point on the line $y=x$ is of the form of:

1. $(b,b)$

2. $(0,b)$

3. $(b,0)$

4. None of these

Q. The path of a train A is given by the equation 3x + 4y - 12 = 0 and the path of another train B is given by the equation 6x + 8y - 48 = 0. Represent this situation graphically.

Q.

Which of the following lines contain the point (1, 2)?

1. x + 2y = 5

2. 2x + y = 5

3. 4x – y = 5

4. 3x – 2y = 1

Q. Solve for x and y : x + y = 17, x² + y² = 169

Q.

Question 1
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.

Q.

3x - 3y = 6 passes through the origin.

1. False

2. True

Q. What is the first element of the ordered pair that represents a point in coordinate system?

1. X-coordinate
2. Y-coordinate
3. Perpendicular distance from X-axis
4. Perpendicular distance from Y-axis

Q. Question 4
Write whether the following statement is True or False?​​​​​​​
The graph given below represents the linear equation x = 3.

Q.

Sheela and Meena have a certain number of coins which adds upto 30. If Sheela gives 5 coins to Meena , Meena will have double the number of coins Sheela has. How many coins does sheela have?

1. 

2. 

3. 

4. 

Q.

How many lines can be drawn from a single point ?

1. 1

2. 2

3. infinitely many

4. 0

Q. Question 12
Aruna has only Rs. 1 and Rs.2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs.75, then the number of Rs. 1 and Rs. 2 coins are, respectively
(A) 35 and 15
(B) 35 and 20
(C) 15 and 35
(D) 25 and 25​​​​​​​

Q. How many solutions can the equation 5x + 4y = 2 have?

1. One
2. Two
3. Data inadequate
4. Infinite