Observe the following verbal descriptions and answer the questions that follow:

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Observe the following verbal descriptions and answer the questions that follow: (a) Point

A

\dfrac{5}{2}

units to the right of the

y

-axis and

3\dfrac{1}{2}

units above the

x

-axis. Write its coordinates and mention the quadrant in which it lies. (b) Point

B

7

units below the

x

-axis and exactly on the

y

-axis. Write its coordinates and state whether it lies in any quadrant. (c) Point

C

has the same ordinate as

A

but is

\dfrac{11}{2}

units to the left of the

y

-axis. Find its coordinates and identify its quadrant. (d) Plot the points

A

B

and

C

on a rough sketch of the coordinate plane and explain briefly how their positions match the verbal descriptions given.