Locating a Given Point on a Graph Paper

Q.

The perpendicular distance of the point P(3, 4) from the y-axis is?

1. 3 units

2. 4 units

3. 5 units

4. 7 units

Q.

A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis. Explain. [1 MARK]

Q.

The point of intersection of X and Y axes is called

1. Null Point

2. Common Point

3. Point of intersection

4. Origin

Q.

The points (-5, 2) and (2, -5) lie in which quadrant?

1. Same quadrant

2. II and III quadrants, respectively

3. II and IV quadrants, respectively

4. IV and II quadrants, respectively

Q.

Points (1, -1), (2, -2), (-4, 5), (-3, -4) lie in which quadrant?

1. II quadrant

2. III quadrant

3. IV quadrant

4. do not lie in the same quadrant

Q.

Where does the point (3, 0) lie?

1. positive x-axis

2. positive y-axis

3. negative x-axis

4. negative y-axis

Q.

The point which lies on the x-axis at a distance of 4 units in the negative direction of x-axis is?

1. (4, 0)

2. (0, 4)

3. (0, -4)

4. (-4, 0)

Q.

The perpendicular distance of a point P from x-axis is 4 units and the perpendicular distance from y-axis is 5 units(assuming in the positive direction). What are the coordinates of P?

1. P(5, 4)

2. P(4, 5)

3. P(5, 5)

4. P(4, 4)

Q.

A triangle has vertices with coordinates (2, 0), (3, -1) and (-2, -5). If the triangle is dilated through a scale factor of 2 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

1. (4, 0), (6, -2) and (-4, -10)

2. (4, 0), (6, 2) and (4, -10)

3. (-4, 0), (6, -2) and (-4, -10)

Q.

If the coordinates of $A$ and $B$ be $\left(1,2,3\right)$ and $\left(7,8,7\right)$, then the projections of the line segment $AB$ on the co-ordinate axis are

1. $6,6,4$

2. $4,6,4$

3. $3,3,2$

4. $2,3,2$

Q. If the distance of( 4, 0) from (a, b) is the double the distance of the point (a, b) from the X AXIS, THEN the relation between a & b is
1) ( a _ 2)² = b^2. 2) (a+ 2)² = b^2. 3) (a _ 4 )^2. = 3b​​​​^2. 4) none

Q.

State whether True or False. Correct those are false.

(i) A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.

(ii) A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.

(iii) The coordinates of the origin are (0, 0).

Q.

The point (0, 10) lies on?

1. positive x-axis

2. negative x-axis

3. positive y-axis

4. negative y-axis

Q.

The point (2, 7) is at a distance of ___________ from the y-axis.

1. 2 units

2. 7 units

3. 9 units

4. 5 units

Q. Match the coordinates with the quadrant in which they lie.

1. 1st Quadrant
2. 2nd Quadrant
3. 3rd Quadrant
4. 4th Quadrant

Q. Which of the following points lie in the IV quadrant?

1. (-3, -5)
2. (2, -3)
3. (-2, 5)
4. (0, 6)

Q.

In which quadrant does the point (-101, -299) lie?

1. I quadrant.

2. IV quadrant.

3. II quadrant.

4. III quadrant.

Q.

Two points A & B are plotted on a graph with coordinates (2, 3) and (3, 2) respectively. The points A and B will coincide.

1. False

2. True

Q.

If we plot the following data, what kind of graph do we get?
$\begin{array}{ccccccc}\text{Distance covered (in kms)}& \text{80}& \text{100}& \text{120}& \text{140}& \text{160}& \text{180}\\ \text{Time taken (in hrs)}& \text{4}& \text{6}& \text{8}& \text{10}& \text{12}& \text{14}\end{array}$

1. Linear Graph

2. Non-linear Graph

3. Curvy Graph

4. We can't plot these points

Q.

Plot the line graph for this data. Which of the following statement is true?

Sarah brought a new car in 2001 for ₹8, 00, 000. The value of her car changed each year as shown in the table below.
$\begin{array}{cc}\left(ValuesofSara{h}^{\prime }scar\right)& \\ \text{Year}& \text{Value}\\ 2001& ₹8,00,000\\ 2002& ₹7,50,000\\ 2003& ₹6,60,000\\ 2004& ₹5,80,000\\ 2005& ₹4,80,000\\ 2006& ₹3,30,000\\ 2007& ₹1,90,000\end{array}$

1. All the points lie on a common straght line

2. Data Insufficient.

3. The sale value of car is always reducing with time

4. In 2004 the car had a higher sale value than 2002 but lower than 2006

Q.

In the figure, ABC is a triangle with coordinates of A and O as (4, 0) and (0, 0) respectively. AB = 5 units. Find the coordinates of B.

​​

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

Q.

Where does the point (0, -2) lie?

1. positive x-axis

2. positive y-axis

3. negative x-axis

4. negative y-axis

Q. Show that the point (2a, 4a), (2a, 6a) and (2a + root 3, 5a) are the vertices of an equilateral triangle.

Q.

The point (5, -2) and (-2, -5) lie in?

1. same quadrants

2. II and III quadrants respectively

3. II and IV quadrants respectively

4. IV and III quadrants respectively

Q.

Choose the correct option:

If a person moves either 1 unit in the direction of positive x-axis or 1 unit in the direction of positive y-axis per step, then the number of steps he requires to reach (10, 12) starting from the origin (0, 0) is ____________.

A. 10

B. 12

C. 22

D. 120

Q.

The points A (1, 1), B (-1, 1) and the origin form the vertices of

1. Right-angled isosceles triangle

2. Right-angled triangle

3. Isosceles triangle

4. Equilateral triangle

Q. The points ( 0 , 8/3 ) , (1 , 3 ) , ( 82 , 30) are vertices of - A) an obtuse angled triangle B) an acute angled triangle C) a right angled triangle D) an isosceles triangle

Q.

The point (3, 2) is at a distance of _____units from y-axis

1. 3 units

2. 5 units

3. 1 unit

4. 2 units

Q. The following line graph shows the yearly sales figures for a manufacturing company.

What were the sales in (i) 2003 (ii) 2005?
[2 marks]

Q.

Which of the following points lie on x-axis?

A(7, 3) B(1, 0), C(0, 1 ), E (-1, 0), F ( 0, -1), G (4, 0), H (0, -7)

1. C, F, H

2. B, C, E, F

3. B, E, G

4. B, C, E