Exercise 15.2
Q 1 - Ex 15.2 - Introduction to Graphs - NCERT Maths Class 8th - Chapter 15
Plot the following points on a graph sheet. Verify if they lie on a line
(a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)
(b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4)
(c) K(2, 3), L(5, 3), M(5, 5), N(2, 5)
Sol :
(a) We can plot the given points and join the consecutive points on a graph paper as follows.
From the graph, it can be observed that the points A, B, C, and D lie on the same line.
(b) We can plot the given points and join the consecutive points on a graph paper as follows.
Hence, points P, Q, R, and S lie on the same line.
(c) We can plot the given points and join the consecutive points on a graph paper as follows.
Hence, points K, L, M, and N are not lying on the same line.
Q 2 - Ex 15.2 - Introduction to Graphs - NCERT Maths Class 8th - Chapter 15
Question 2
Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.
Sol :
From the graph, it can be observed that the line joining the points (2, 3) and (3, 2) meets the x-axis at the point (5, 0) and the y-axis at the point (0, 5).
Q 3 - Ex 15.2 - Introduction to Graphs - NCERT Maths Class 8th - Chapter 15
Question 3
Write the coordinates of the vertices of each of these adjoining figures.
Sol :
The coordinates of the vertices in the given figure are as follows.
O (0, 0), A (2, 0), B (2, 3), C (0, 3)
P (4, 3), Q (6, 1), R (6, 5), S (4, 7)
K (10, 5), L (7, 7), M (10, 8)
Q 4 - Ex 15.2 - Introduction to Graphs - NCERT Maths Class 8th - Chapter 15
Question 4
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).
Sol :
(i) True
(ii) False
The point whose y-coordinate is zero and x-coordinate is 5 will lie on x-axis.
(iii) True
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