MCQ: Introduction to Graphs | Mathematics (Maths) Class 8 PDF Download

Ans: (a)
A histogram is an accurate graphical representation of the distribution of numerical data. It is usually used to represent groups or classes of data.

Ans: (d)
A line graph displays data that change continuously over periods of time.

Ans: (a)
A line graph consists of bits of line segments joined consecutively. The graph which has a whole unbroken line called linear graphs.

Ans: (d)
We know, any point which lies on the y-axis will be of the form (0,y), where y is any real number. Here, the points (0,4) and (0,−8) are of the form (0,y), where y=4 and −8, respectively.

Ans: (a)
XO is a positive x-axis, so (4,0) lies on it.

Ans: (b)
Distance between two points (x₁, y₁) and (x₂, y₂) can be calculated using the formula.

Distance between (−2,−2) and (0,0) =

Ans: (d)
given that, 
x - coordinate = 2 
y - coordinate = 2 
then, 
Distance of x - coordinate from origin = 2 
Distance of y - coordinate from origin = 2 
therefore, we can conclude that, 
Point (2,2) are equidistant from x - axis and y - axis.

Ans: (b)
Since the given point (-2,5) is the nearest to the y - axis.  So, (- 2,5) will be perpendicular on y-axis. Hence, the required point on y-axis be (0, 5).

Ans: (c)
We know, the coordinates of the point of intersection of the x-axis and y-axis is called the origin. Also, the two axes intersect each other when x=0 and y=0. That is, the coordinates of the origin is (0,0). Hence, the given point is the origin. Then, the origin lies in both the axes x and y.

Ans: (c)
Team 4 has the highest score with 34.5%

Ans: (b)
There were 1000 men in the year 2010 in the village.

Ans: (b)
Team 2 has the second-highest score, equal to 32.7%.

Ans: (a)
In 2005, there were only 500 men in the village.

Ans: (a)
The terminal arm passes through (−3,−3). The point is of the form, (x,y). Here, x is negative and y is negative, which lies in III quadrant.

Ans: (c)
Point: (−3,2) x co-ordinate: 
−ve y co-ordinate: +ve  
So, this point lies in the II quadrant. 
Point: (2,−3) 
x co-ordinate: +ve 
y co-ordinate: −ve  
So, this point lies in the IV quadrant.

Ans: (b)
Equation of line passing through (0,0,0) and (1,1,1) is given by,

So any point on the above line is taken as (t,t,t). To get the point of intersection of line and the plane 2x+2y+z=10. Above point will satisfy the plane as well 
⇒ 2t + 2t + t = 10 
⇒ 5t = 10 
⇒ t = 2
 Hence the point of intersection is (t,t,t) = (2,2,2)

Ans: (a)
Distance of P from Y-axis means the absolute value of its abscissa i.e. 5. So, option A is correct.

Ans: (c)
The coordinates of the origin are always all zero, for example (0,0) in two dimensions and (0,0,0) in three.

Ans: (b)
If the x-coordinate of the point is non zero and y-coordinate is zero. The point will lie on the y -axis.

Ans: (a)
The coordinate plane has two axes: the horizontal and vertical axes. These two axes intersect one another at a point called the origin.