NCERT Solution  For Class 8 MATHS

Chapter –  Introduction to Graph Exercise – 15.2

Q1. Plot the following points on a graph sheet. Verify. If they lie on a line.

• A(4,0) B(4,2) C(4,6) D(4,2.5)
• P(1,1) Q(2,2) R(3,3) S(4,4)
• K(2,3) L(5,3) M(5,5) N(2,5)

Solution:-

 

Plot all the points on the graph.

 

• All points A,B,C and D lie on  vertical line.
• P,Q,R and S points also make a line . It verifies that these points lie on a lie.
• Points K,L,M and N . These points do not  lie in a straight line.

 

Q2. Draw the line passing through (2,3) and (3,2) . Find the coordinates of  the points at which thus line meets the X – axis and Y – axis .

Solution:-

 

Graph for the line passes through points (2,3) and (3,2) is:

 

 

The coordinates of the points at which this lines meets the x – axis at (5,0) and Y – axis at (0,5).

 

Q3. Write the coordinates of the vertices  of each of these adjoining figures.

 

 

Solution:-

 

We can observe three figures named as, OABC , PQRS and LMK.

 

Vertices of figure OABC

O(0,0) A(2,0) B(2,3) and C (0,3)

 

Vertices of figure PQRS

P (4,3) Q(6,1) R(6,5) and S(4,7)

 

Vertices of figure LMK

L (7,7) , M(10,8) and K (10,5)

 

Q4. State whether True or False. Correct that are false.

• A pint whose x coordinate is zero and y- coordinate is non – zero will lie on the y – axis.
• A point whose y coordinate is zero and x – coordinate is 5 will lie on y – axis.
• The co-ordinates of the origin are (0,0)

Solution:-

 

• False , it will  lie on x – axis.

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