Plotting a Point in the Plane if Its Coordinates are Given

IMPORTANT

Plotting a Point in the Plane if Its Coordinates are Given: Overview

This Topic covers sub-topics such as Signs of Coordinates of Points in 2D Based on Quadrants, Coordinates of a General Point on x-axis in 2D, Relative Position of (x,y) and (y,x) on Cartesian Plane and, Distance of a Point from Coordinate Axes

Important Questions on Plotting a Point in the Plane if Its Coordinates are Given

HARD
IMPORTANT

Three vertices of a rectangle are P(1, 3), Q(1, -1) and R(7, -1). Plot these points on the graph paper and hence, use it to find the coordinates of the fourth vertex. Also, find its area.

HARD
IMPORTANT

Find the centre of the circle passing through the points A6, -6, B3, -7 and C(3, 3). Also find its radius. 

HARD
IMPORTANT

The two opposite vertices of a square ABCD are A(-1, 2) and C(3, 2). Find the coordinates of B and D.

EASY
IMPORTANT

In which quadrant is the point (2, 2) located?

EASY
IMPORTANT

The ordinate of the point (-5,3) is _____.

EASY
IMPORTANT

Image of a point (0,3) about x -axis is

MEDIUM
IMPORTANT

A(1,7)C(7,13) and D(1,13) are the vertices of a square ABCD. Plot these points and find the fourth vertex B. Also, find the coordinate of the point of intersection (P) of the diagonal.

MEDIUM
IMPORTANT

A(-4,4), B(6,4)C(2,-2) are the three vertices of a parallelogram ABCD. Plot these points on the graph and find the fourth vertex D of the parallelogram ABCD. Also, from the graph, state the coordinates of mid points of the sides AD and BC.

HARD
IMPORTANT

Plot the points A(3,5)B(-2,5), C(-2,2) and D(3, 2). Write the type of quadrilateral ABCD. Also find the area of quadrilateral ABCD.

EASY
IMPORTANT

Plot the point P(5,-4). Draw PM and PN perpendiculars to x-axis and y-axis respectively. Write the coordinates of points M and N.

EASY
IMPORTANT

In which quadrants are the following points located:
A(-5, 7), B(2, 4), C(-5,-8), D (4,-3)

EASY
IMPORTANT

Plot the following points on the same graph paper:
A(4, 6), B(-2, 2), C (2, 0), D (-1, -1), E(1, 7), F(6, 2), G(1, -1) and H(-2, 2)

MEDIUM
IMPORTANT

What is the distance of point A(16,20) from x -axis?

EASY
IMPORTANT

What is the perpendicular distance of the point A(15,19) from the y -axis?

HARD
IMPORTANT

The three vertices of a rectangle ABCD are A(2,2), B(-3,2) and C(-3,5) . Plot these points on a graph paper and find the coordinates of D. Also, find the area of rectangle ABCD.

EASY
IMPORTANT

In the adjoining figure find the ordinate of the point P.
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EASY
IMPORTANT

Determine the abscissa of point P in the given figure:

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EASY
IMPORTANT

In the adjoining figure, find the ordinate of the point P.
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EASY
IMPORTANT

In the adjoining figure, find the abscissa of the point P.
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