Which point lies on Y-axis?(a). \[\left( 4,0 \right)\] (b). \[\left( 0,4 \right)\] (c). \[\left( -8,0 \right)\] (d). \[\left( 0,-8 \right)\] Show Answer Verified Hint: First, one should know the form of the coordinate system which is given by \[\left( x,y \right)\] . So, while seeing the option compare with this given form and accordingly, plot the point on the graph to know which point lies on which axis. Complete step-by-step answer: A coordinate system is a two-dimensional system consisting of vertical and horizontal lines known as axes. The figure is as shown below: Now, here vertical line is indicated as Y-axis and horizontal line is indicated as X-axis. Here, the centre is called Origin where x-axis and y-axis intersect. So, this point lies on horizontal line ie. X-axis. So, this option is not correct. Taking option (b): \[\left( 0,4 \right)\] Here, 0 is on x-coordinate and 4 is y-coordinate. So, we get in graph as As y-coordinate is number and x-coordinate is 0 it refers to the y-axis point. So, this option is correct. Taking option (c): \[\left( -8,0 \right)\] Here again it is similar to that of option (a) i.e. y-coordinate is 0 and x-coordinate is a number. So, this point will be represented on X-axis. So, this option is not correct. Now, option (d): \[\left( 0,-8 \right)\] So, by plotting this point on a graph we can identify that this point lies on the y-axis. So, this option is correct. Thus, we get two points which lie on the Y-axis are \[\left( 0,4 \right)\] , \[\left( 0,-8 \right)\] . Hence, option (b) and (d) are correct. Note: Sometimes mistakes are made while either of coordinate i.e. x-coordinate or y-coordinate is zero. So, remember the form of this coordinate system which is given by \[\left( x,y \right)\] . Also, another method is that if either of x or y coordinates is zero then the remaining coordinate is the answer. For example: If we have a point \[\left( 0,1 \right)\] then x-coordinate is 0 so this point lies on the Y-axis. Similarly, we can easily find which point lies on which axis. Is point 0 2 lies on the y(i) Point (0, –2) lies on y-axis.
Which point is not lie on yhere, points (2,0) and (5,0) lie on the X-axis and point (0,5) lies on Y-axis. hence, the only point which does not lie on the axis is (3,4).
Is the point 0 4 lies on yAnswer: (C) Positive y-axis.
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