Cartesian System

IMPORTANT

Cartesian System: Overview

This topic covers concepts, such as, Coordinate System, Coordinate System in 2D, y Coordinate of a Point in 2D & Coordinates of a Point in 2D as an Ordered Pair etc.

Important Questions on Cartesian System

EASY
IMPORTANT

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

EASY
IMPORTANT

The name of the horizontal line in the cartesian plane which determines the position of a point is called :

EASY
IMPORTANT

The square of abscissa of point P0,-3 is 0.

EASY
IMPORTANT

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In the above figure, if coordinates of point P are x,y then find the value of x+y2.

EASY
IMPORTANT

Find the co-ordinates of points P, Q, R and S from the given figure.

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EASY
IMPORTANT

Write the coordinates of the points A, B, C, D, E, F, G and H shown in Figure.

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EASY
IMPORTANT

Write the coordinates of points whose
(iv) ordinate is 32 and lies on y-axis.

EASY
IMPORTANT

Write the coordinates of points whose
abscissa is 5 and lies on x-axis

EASY
IMPORTANT

Write the coordinates of points whose
(ii) ordinate is -5 and abscissa is 2

EASY
IMPORTANT

Write the coordinates of points whose

abscissa is 3 and ordinate is -4

EASY
IMPORTANT

Write the name of the point where the horizontal and vertical lines intersect in the cartesian plane.

EASY
IMPORTANT

Write the name of each part of the plane formed by the horizontal and vertical lines in the Cartesian plane.

EASY
IMPORTANT

Write the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane.

EASY
IMPORTANT

What is the equation of x axis?

HARD
IMPORTANT

Four students plotted line y=-4 as shown below.

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Who plotted the liney=-4 correctly?

EASY
IMPORTANT

Kiran plotted two points P ($ -$2, 3) and Q (0, $ -$4) on a graph sheet.

Which of these graph sheets shows the points P and Q plotted correctly?

EASY
IMPORTANT

Ashwin, Rama, Rajani and Vinu are plotting points P($ -$4, 3) on a graph paper.

Shown below is how they moved their pencil tips from origin (0, 0) to locate the coordinates of P on the graph sheet.

Student

1st movement

2nd movement

Ashwin

4 units LEFT along x-axis

3 units UP parallel to y-axis

Rama

3 units UP along y-axis

4 units LEFT parallel to x-axis

Rajani

3 units RIGHT along x-axis

4 units DOWN parallel to y-axis.

Vinu

4 units DOWN along y-axis

3 units RIGHT parallel to x-axis

Who located the point P($ -$4, 3) correctly?

EASY
IMPORTANT

Arun plotted graph of a line y = 4x – 1 on a graph sheet.

Which of the following coordinates lie on the line y = 4x$ -$1?

EASY
IMPORTANT

A point P plotted on a graph sheet is shown below. O is the origin.

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The length of the line segment OP is _____ units.

EASY
IMPORTANT

Shown below is the line PQ plotted on a graph sheet. The coordinates of P is (0,5) and that of Q is (5, 0).

 

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If a point R is marked on the line PQ such that its x-coordinate is 3, then its y-coordinate is _____.