Book: RD Sharma - Mathematics
Chapter: 27. Introduction to Graphs
Subject: Maths - Class 8th
Q. No. 7 of Exercise 27.1
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Decide which of the following statements is true and which is false. Give reasons for your answer.
(i) A point whose x-coordinate is zero, will lie on the y-axis.
(ii) A point whose y-coordinate is zero, will lie on x-axis.
(iii) The coordinates of the origin are (0,0).
(iv) Points whose x and y coordinates are equal, lie on a line passing through the origin.
For x = 0, we have x- coordinates as zero.
For example (0,5) and (0, 7)
These points will lie on y axis. Hence, we say that our given statement is true.
(ii) A point whose y-coordinate is zero, will lie on x-axis.
For y = 0, we have y- coordinates as zero.
For example (5,0) and (7, 0)
These points will lie on x axis. Hence, we say that our given statement is true.
(iii) The coordinates of the origin are (0,0).
Origin is intersection of x-axis and y-axis. This means that coordinates of the origin will be intersection of lines y = 0 and x = 0.
Hence, coordinates of origin are (0,0).
∴ Given statement is true.
(iv) Points whose x and y coordinates are equal, lie on a line passing through the origin.
For above statement we can conclude that our statement satisfies the equation x = y.
For x = 0 and y = 0, this equation gets satisfied.
Hence, our given statement is true.
