Chapter 15 Introduction to Graphs Exercise 15.2
Question 1: 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)
Answer:
a)
Therefore, ABCD lie on a line.
b)
Therefore, PQRS lie on a line.
c)
![Question 1 Answer iii)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgsh3OfZksCALq28ashPATunAHuY1ZO7Uoiv-Nl1RZgeoR7utpMhQuo2SwSoPyTa_5FuiYnnOAiHdWSgBTt3gs61xUs1VbpvBbuXPVXmIc2XlOOTwdYXrwpi0WmUwy1ql5dNuPc2KtdKk74k3Gdf4pr617bO4wr1fcVeY0RrzQS5NBNu0mZt2C1jfY6qA/s16000-rw/Q1 iii).png)
Therefore, KLMN don’t lie on a line.
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.
Answer:
![Question 2 Answer](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9kKim912qeddYSnn8vVUzz58SrAEZHePc597r6ZXmrn0yqPG_1rNj6tSzKKJRFOC97A21GhSOmJnRApHbKOIeAm2tkFJ5JR9RYQ3OT0EKZccVqMtx_t_zntH8e7I9pONR7n_Qa-tku1sRryP3TAnXENneEJmV6Iy5hRvBrYhKfEv-CPPdqPfqzM4HWw/s16000-rw/Q2.png)
x-axis at (5, 0)
y-axis at (0, 5)
(5, 5) is the coordinate of the points at which this line meets x-axis and y-axis.
Question 3: Write the coordinates of the vertices of each of these adjoining figures.
![Question 3](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6NhTQYA_SZ9nJDBGisf62eHde8msRiOyZ-HPGIE10E3wrhQ6hMgEcY_akrek2GJqSCvqSSfa5OkGwEVHq8KOCSM3aDqRGtObrArxqKIP7thKHiJGroMRne1w2lWdAUtjBnXp1Mz-0Q23jsWcoLFFHdEQcVteDrWK9HXCLkm3k2LbiZNsde1Bt6D-VSQ/s16000-rw/Q3.png)
Answer:
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)
Question 4: State whether True or False. Correct that 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).
Answer:
i) True
ii) False; A point whose y coordinate is zero and x-coordinate is 5 will lie on x-axis.
iii) True
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