Question

If the distance of the point P from y-axis is b, then coordinates of P will be:
(A). (b, y)
(B). (y, b)
(C). (2b, x)
(D). (x, b)

Answer 1

Hint: If the distance of point P from the y-axis is b, it means point P has covered a distance of b on the x-axis from the origin. So, the x coordinate of the point P is b, and y – coordinate of the point P is y.

Complete step-by-step solution -
It is given in the question that the distance of point P from the y-axis is b is shown with the below graphical representation.
 

In the above figure, we have shown the coordinates of P as (b, y) because as you can see from the figure that the x coordinate of point P has swept the distance of b from the origin. And there is no information about y coordinate of the point P so we have taken the y coordinate of point P as y.
From the graphical discussion, we have shown that the coordinate of point P is (b, y).
Hence, the correct option is (a).

Note: You might get confused that distance of point P from y-axis is b so you might write b as the y - coordinate of point P so it is always better to draw the diagram on the graph paper or simply draw the x and y-axis perpendicular to each other and see where the given point P lies.