Listen NCERT Audio Books to boost your productivity and retention power by 2X.
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.