OP Malhotra Coordinates and Graphs Class-9 S.Chand ICSE Maths Ch-20

OP Malhotra Coordinates and Graphs of Simultaneous Linear Equations Class-9 S.Chand ICSE Maths Ch-20. We Provide Step by Step Answer of Exe-20(a), Exe-20(b), Exe-20(c), Exe-20(d), with Chapter Test of S Chand OP Malhotra Maths . Visit official Website CISCE  for detail information about ICSE Board Class-9.

Board	ICSE
Publications	S. Chand
Subject	Maths
Class	9th
Chapter-20	Coordinates and Graphs of Simultaneous Linear Equations
Writer	OP Malhotra
Topics	Solution of Exe-20(a), Exe-20(b), Exe-20(c), Exe-20(d), with Chapter
Academic Session	2021-2022

OP Malhotra Coordinates and Graphs of Simultaneous Linear Equations Class-9 S.Chand ICSE Maths Ch-20

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-: Select Topics :-

Exercise-20(a)

Exercise-20(b)

Exercise-20(c)

Exercise-20(d)

Chapter Test

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Exercise-20

OP Malhotra Coordinates and Graphs of Simultaneous Linear Equations Class-9 S.Chand ICSE Maths Ch-20

Linear Equations :

The equation of a straight line is the linear equation. It could be in one variable or two variables.

Linear Equation in One Variable

The equation with one variable in it is known as a Linear Equation in One Variable.

The general form is

px + q = s, where p, q and s are real numbers and p ≠ 0.

Example

x + 5 = 10

y – 3 = 19

These are called Linear Equations in One Variable because the highest degree of the variable is one.

Graph of the Linear Equation in One Variable :

We can mark the point of the linear equation in one variable on the number line.

Solution of a Linear Equation :

• There is only one solution in the linear equation in one variable but there are infinitely many solutions in the linear equation in two variables.
• As there are two variables, the solution will be in the form of an ordered pair, i.e. (x, y).
• The pair which satisfies the equation is the solution of that particular equation.

How to solve a pair of simultaneous equations graphically?

In order to solve a pair of simultaneous equations graphically, we first draw the graph of the two equations simultaneously. We get two straight lines intersecting each other at a common point. This common point intersection of two lines gives the solution of the pair of simultaneous equations.

Graphical representation of a linear equation in 2 variables :

• Any linear equation in the standard form ax+by+c=0 has a pair of solutions in the form (x,y), that can be represented in the coordinate plane.
• When an equation is represented graphically, it is a straight line that may or may not cut the coordinate axes.

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Exercise-20 (a)

Malhotra Coordinates and Graphs Class-9 S.Chand ICSE Maths Ch-20

Question 1:

Plot the following points on a graph paper using the same pair of axes and the same scale for each one.

(i) (0, 18)

………………

Question 2:

The coordinate of the three vertices of a rectangle are given. By plotting the given points, find the each case, the co-ordinates of the fourth vertex.

(i) A (4, 2), ………………..

(ii) B (10, 4) ……………

Question 3:

A (-2, 4), C (4, 10) and D (-2, 10) are the vertices of a square ABCD. Usev  graphical method to find the coordinate of the fourth vertex B. Also find

(i)……………..

………………….

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Exercise-20 (b)

 Malhotra Coordinates and Graphs Class-9 S.Chand ICSE Maths Ch-20

Question 1:

Fill in the blanks :

(i) The graph of x = 1 is line parallel to the ……….. axis.

(ii)………………

Question 2:

Graph the following equations :

(i) x = 3

…………………

Question 3:

…………………..

……………………

Question 4:

Find the coordinate of the point where the following lines cut the y-axis.

(i) y = 5x + 1

…………………..

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Exercise-20(c)

OP Malhotra Coordinates and Graphs Class-9 S.Chand ICSE Maths Ch-20

Question 1:

3y – 2x = 7, 5x + 3y = -7

Question 2:

2x + 3y = 13, 5x – 2y = 4

Question 3:

……………………….

……………………….

……………………….

Question 10:

Use a graph paper for this equations. Draw graph of 2x – y – 1 = 0 and 2x + y = 9 on the same axes. Use 2 cm = 1 unit on both axes and plot only 3 points for each lines. Write down the coordinate of the point of intersections of the two lines.

 

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Exercise-20(d)

OP Malhotra Coordinates and Graphs Class-9 S.Chand ICSE Maths Ch-20

Question 1:
Find the distance between each of the following pairs of points :

(i) (0, 0), (2, 3)

…………………….

Question 2:

The distance between two points (0, 0) and (x, 3) is 5. Find x.

Question 3:

……………………..

………………………

………………………

Question 18:

Point A(5, 1) is the centre of a circle with radius 13 units. AB is perpendicular to the chord PQ. B is (2, -3). Calculate the length of (i) AB

(ii) PB (iii) PQ.

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Chapter Test

 Coordinates and Graphs Class-9 S.Chand ICSE Maths Ch-20

Question 1:

If (1, 2) and (3, 8) are the extremes of a diagonal ……….. square is

(a)………………..

………………………..

Question 2:

If the distance ………… x =

(a) 10

(b) ……………

………………..

Question 3:

……………………….

………………………..

………………………

Question 10:

The point (-4, 0), (4, 0), (0, 3) are the vertices of a

(a) right triangle

(b) …………………

……………………….

— : End of Coordinates and Graphs of Simultaneous Linear Equations OP Malhotra S Chand Solutions :–

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Return to :–   OP Malhotra S Chand Solutions for ICSE Class-9 Maths

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