Consider four positions on a treasure map

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

Problem

Consider four positions on a treasure map, each described in words: (i) Point

P

2

units left of the

y

-axis and

3

units above the

x

-axis. (ii) Point

Q

5

units right of the

y

-axis and

3

units above the

x

-axis. (iii) Point

R

5

units right of the

y

-axis and

4

units below the

x

-axis. (iv) Point

S

2

units left of the

y

-axis and

4

units below the

x

-axis. Answer the following: (a) Write the coordinates of the points

P,\,Q,\,R

and

S

. (b) Without using any distance formula, state whether

PQR S

forms a rectangle. Give reasons referring only to equal abscissae or equal ordinates wherever required. (c) Write the name of the quadrant (or axis) in which each point lies.

Related theory

Types of Quadrilaterals
Quadrilaterals
Cartesian Coordinate System
Coordinate Geometry

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