From the given figure, answer the following question. Write the points whose abscissa is 0 .

Given, We know, The abscissa and ordinate are used to represent the position of a point on a graph. The distance of a point from y - axis scaled with the x - axis is called abscissa or x coordinate of the point. The distance of a point from x - axis scaled with the y - axis is called ordinate. The abscissa and ordinate all together are called coordinates. We need to find the points whose abscissa is 0 . The points those lie on y - axis have their abscissa as zero. Therefore, we get: A 0 , 3 , L 0 , - 4 and O 0 , 0 Hence, the points are A , L and O .

From the given figure, answer the following question. Write the points whose ordinate is 0 .

Given, We know, The abscissa and ordinate are used to represent the position of a point on a graph. The distance of a point from y - axis scaled with the x - axis is called abscissa or x coordinate of the point. The distance of a point from x - axis scaled with the y - axis is called ordinate. The abscissa and ordinate all together are called coordinates. We need to find the points whose ordinate is 0 . The points those lie on x - axis have their ordinate as zero. Therefore, we get: I - 2 , 0 , G 5 , 0 and O 0 , 0 Hence, the points are I , G and O .

From the given figure, answer the following question. Write the points whose abscissa is - 5 .

Given, We know, The abscissa and ordinate are used to represent the position of a point on a graph. The distance of a point from y - axis scaled with the x - axis is called abscissa or x coordinate of the point. The distance of a point from x - axis scaled with the y - axis is called ordinate. The abscissa and ordinate all together are called coordinates. We need to find the points whose abscissa is - 5 . Therefore, we get: D - 5 , 1 , H - 5 , - 3 Hence, the points are D and H .

In the given figure, A B C D is a rhombus with diagonals A C = 16 cm and B D = 8 cm . Find the coordinates of A , B , C and D .

Given, A B C D is a rhombus with diagonals A C = 16 cm and B D = 8 cm . We know, The diagonals of a rhombus bisect each other at right angles. Thus, we get: A C = A O + O C = 16 cm ⇒ A O = O C = 8 cm And, B D = B O + O D = 8 cm ⇒ B O = O D = 4 cm Therefore, we get the coordinates according to their corresponding quadrants as follows: A lies on the negative direction of x - axis and the coordinates are - 8 , 0 B lies on the positive direction of y - axis and the coordinates are 0 , 4 C lies on thepositive direction of x - axis and the coordinates are 8 , 0 D lies on the negative direction of y - axis and the coordinates are 0 , - 4 Hence, the points are A - 8 , 0 , B 0 , 4 , C 8 , 0 and D 0 , - 4 .

E M B I B E

All in One Mathematics>Chapter 3 - Coordinate Geometry>Exam Practice

Exam Practice

Author:Brijesh Dwevedi & Jitendra Gupta

Brijesh Dwevedi Mathematics Solutions for Exercise - Exam Practice

Simple step-by-step solutions to Exam Practice questions of Coordinate Geometry from All in One Mathematics. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.

Questions from Exam Practice with Hints & Solutions

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 3 - Coordinate Geometry>Exam Practice>Q 22

Find the coordinates of the vertices of a rectangle placed in $I I I$ quadrant, in the cartesian plane with length $p$ units on $X$ -axis and breadth $q$ units on $Y$ -axis.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 3 - Coordinate Geometry>Exam Practice>Q 23

In the adjoining figure, $P Q R$ is an equilateral triangle in which coordinates of $Q$ and $R$ are $(0, 4)$ and $(0, - 4)$ , respectively. Find the coordinates of the vertex $P$ .

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MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 3 - Coordinate Geometry>Exam Practice>Q 24

From the given figure, answer the following question.

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Write the points whose abscissa is $0$ .

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 3 - Coordinate Geometry>Exam Practice>Q 24

From the given figure, answer the following question.

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Write the points whose ordinate is $0$ .

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 3 - Coordinate Geometry>Exam Practice>Q 24

From the given figure, answer the following question.

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Write the points whose abscissa is $- 5$ .

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 3 - Coordinate Geometry>Exam Practice>Q 27

Write the coordinates of the vertices of a rectangle, whose length and breadth are $6$ units and $3$ units respectively, one vertex at the origin, the longer side lies on the $Y$ -axis and one of the vertices lies in the $I I$ quadrant. Also, find the area of the rectangle.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 3 - Coordinate Geometry>Exam Practice>Q 21

In the given figure, $△ A B C$ and $△ A B D$ are equilateral triangles. Find the coordinates of points $C$ and $D$ .

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