CBSE Class 9 Maths Lab Manual – Graph of Linear Equation
Download CBSE Maths Lab Manual for Class 6, 7 and 8 PDF. The CBSE Class 6, 7 and 8 Maths practicals activities create a positive attitude and a new thirst for knowledge. It develops the habit of critical thinking and logical reasoning. Students overcome drudgery and boredom by performing the CBSE Maths Lab Manual of Upper Primary Class activities. NCERT Class 9 Maths Lab Manual – Verify that if Two Lines Intersect each Other. To verify experimentally that if two lines intersect each other, then. The vertically opposite angles are equal. The sum of two adjacent angles is 180°. The sum of all the four angles is 360°. Materials Required. Comprehensive Math Laboratory (Experiment & Workbook) IX (Hindi Medium)-J. Dixit 2010-06-01 Oswaal CBSE Laboratory Manual Class 9 Science Book (For 2022 Exam)-Oswaal Editorial Board 2021-01-15. It is strictly according to the latest CBSE guidelines. It contains all NCERT Lab Manual Questions, fully solved. Jan 01, 2019 Subject, Type of Book and Class → Mathematics → Lab Manual → Class 9 Book Description Introducing the Maths Laboratory Manual for Classes 9 and 10, strictly based on CBSE and NCERT curricullum.The Manualis Hardbound with notebook area for students to write their experiments. Books Indent Form School Kits Exemplar Problems Laboratory Manuals 50 years of NCERT. Activities for Class IX (1 to 10). [email protected] 011.
Objective
To obtain a linear equation and draw a graph which represents the linear equation.
To obtain a linear equation and draw a graph which represents the linear equation.
Prerequisite Knowledge
Concept of linear equation.
To represent the co-ordinates on cartesian plane.
Concept of linear equation.
To represent the co-ordinates on cartesian plane.
Materials Required
Graph paper, pens, pencil, eraser, ruler.
Graph paper, pens, pencil, eraser, ruler.
Procedure
Let us consider a situation. Suppose you have 60 rupees to spend. You went to a stationery shop to buy some pencils and some pens. Cost of 1 pencil is Rs. 2 and the cost of 1 pen is Rs. 4. Find the number of pencils and pens bought by you from the shop.
Let us consider a situation. Suppose you have 60 rupees to spend. You went to a stationery shop to buy some pencils and some pens. Cost of 1 pencil is Rs. 2 and the cost of 1 pen is Rs. 4. Find the number of pencils and pens bought by you from the shop.
- Construct a linear equation in two variables.
- Let the number of pencils be xand number of pens be y.
- According to the given situation, 60 = 2x + 4y.
- Now we have to represent this situation on the graph paper.
- By taking different values of x we get different values of y. Put different values of x given in table to get corresponding values y as shown.
x 0 2 4 6 y 15 14 13 12 - Take a graph paper and a cartesian system is drawn, i.e., x-axis and y-axis are drawn.
- Plot the coordinates from the above table on the graph and name them as A(0,15), B(2,14), C(4,13), D(6,12).
- On joining the points A, B, C and D we get a straight line.
Observation
- We get a straight line, which represents the linear equation [fig. (i)].
- On the line there are infinitely many coordinates. But, according to the situation we have taken those points or coordinates which are natural numbers.
Result
We observed that for the given equation, we get a straight line on the graph paper which cuts the x-axis and y-axis. Quick easy ftp server professional version 3.2 crack.
We observed that for the given equation, we get a straight line on the graph paper which cuts the x-axis and y-axis. Quick easy ftp server professional version 3.2 crack.
Learning Outcome
We learnt that for any one degree equation whether in one variable or two variables, yye will get a straight line on the graph papers. For x = a, line is parallel to y-axis at a distance of a unit from origin. For y = b, line will be parallel to x-axis at a distance of b unit from origin.
We learnt that for any one degree equation whether in one variable or two variables, yye will get a straight line on the graph papers. For x = a, line is parallel to y-axis at a distance of a unit from origin. For y = b, line will be parallel to x-axis at a distance of b unit from origin.
Activity Time
For the other daily life situations students can draw linear equation on the graph.
e.g. 1. x=2y (cost of one apple is equal to cost of two oranges).
2. x + y = 7 (sum of number of pencils and erasers is 7).
For the other daily life situations students can draw linear equation on the graph.
e.g. 1. x=2y (cost of one apple is equal to cost of two oranges).
2. x + y = 7 (sum of number of pencils and erasers is 7).
Viva Voce
Question 1.
How many solutions will you obtained for x + y = 1 ?
Answer:
Infinitely many solutions.
How many solutions will you obtained for x + y = 1 ?
Answer:
Infinitely many solutions.
Question 2.
How many solutions will you obtained for 2x + 5 = 3 ?
Answer:
One solution.
How many solutions will you obtained for 2x + 5 = 3 ?
Answer:
One solution.
Question 3.
Write solution of 6x+ 5 = 1.
Answer:
(-frac { 2 }{ 3 })
Write solution of 6x+ 5 = 1.
Answer:
(-frac { 2 }{ 3 })
Question 4.
If x = 5, does the equation x + 5 = 10 verify ?
Answer:
Yes.
If x = 5, does the equation x + 5 = 10 verify ?
Answer:
Yes.
Question 5.
Write the solution for x= 1 in 2x+ y = 4.
Answer:
(1,2).
Write the solution for x= 1 in 2x+ y = 4.
Answer:
(1,2).
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Question 6.
Write the geometric representation of y = 3 as an equation in one variable.
Answer:
The graph is a line parallel to x-axis at a distance of 3 from origin.
Write the geometric representation of y = 3 as an equation in one variable.
Answer:
The graph is a line parallel to x-axis at a distance of 3 from origin.
Question 7.
The cost of a ribbon is twice the cost of a hair pin. Write this statement in two variables in linear equation.
Answer:
x = 2y, where x is the cost of a ribbon and y is the cost of a hairpin.
The cost of a ribbon is twice the cost of a hair pin. Write this statement in two variables in linear equation.
Answer:
x = 2y, where x is the cost of a ribbon and y is the cost of a hairpin.
Question 8.
Write any two solutions of x = 4y.
Answer:
(0,0) and (4,1).
Write any two solutions of x = 4y.
Answer:
(0,0) and (4,1).
Question 9.
Check whether the point (-3, -2) lies on the line -2x + y = 7.
Answer:
No, (-3, -2) does not lie on the given line. Metabo kgs 216 m manual.
Check whether the point (-3, -2) lies on the line -2x + y = 7.
Answer:
No, (-3, -2) does not lie on the given line. Metabo kgs 216 m manual.
Multiple Choice Questions
Question 1.
Find k, if y = 1, x = 2 is a solution of the equation 2x + 3y = k:
(i) 7
(ii) 5
(iii) 6
(iv) none of these
Find k, if y = 1, x = 2 is a solution of the equation 2x + 3y = k:
(i) 7
(ii) 5
(iii) 6
(iv) none of these
Question 2.
Is x + (frac { 1 }{ x }) = 4, a linear equation ?
(i) no
(ii) yes
(iii) cubic equation
(iv) none of these
Is x + (frac { 1 }{ x }) = 4, a linear equation ?
(i) no
(ii) yes
(iii) cubic equation
(iv) none of these
Question 3.
Write the degree of 7x – 1=0:
(i) 0
(ii) 2
(iii) 1
(iv) none of these
Write the degree of 7x – 1=0:
(i) 0
(ii) 2
(iii) 1
(iv) none of these
Question 4.
Write the degree of 2x + 3y = 5:
(i) 1
(ii) 2
(iii) 0
(iv) none of these
Write the degree of 2x + 3y = 5:
(i) 1
(ii) 2
(iii) 0
(iv) none of these
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Question 5.
Write whether the given equation is linear or not. x(x + 5) = -x(3 – x) + 7.
(i) yes
(ii) no
(iii) can’t say
(iv) none of these
Write whether the given equation is linear or not. x(x + 5) = -x(3 – x) + 7.
(i) yes
(ii) no
(iii) can’t say
(iv) none of these
Question 6.
In a five day international cricket match between India and Pakistan played in Lahore two Indian batsmen together scored 347 runs. Express this situation in the form of an equation:
(i) x + y = 347
(ii) x – y = 347
(iii) xy = 347
(iv) none of these
In a five day international cricket match between India and Pakistan played in Lahore two Indian batsmen together scored 347 runs. Express this situation in the form of an equation:
(i) x + y = 347
(ii) x – y = 347
(iii) xy = 347
(iv) none of these
Question 7.
How many solutions are possible for the equation y = 3x + 5 ?
(i) one solution
(ii) two solutions
(iii) infinite solutions
(iv) none of these
How many solutions are possible for the equation y = 3x + 5 ?
(i) one solution
(ii) two solutions
(iii) infinite solutions
(iv) none of these
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Question 8.
Express x in terms of y. Given (frac { x }{ 3 }) +2y = 5.
(i) x = 3(2y – 5)
(ii) x = (frac { 2y+5 }{ 3 })
(iii) x = 15 – 2y
(iv) none of these
Express x in terms of y. Given (frac { x }{ 3 }) +2y = 5.
(i) x = 3(2y – 5)
(ii) x = (frac { 2y+5 }{ 3 })
(iii) x = 15 – 2y
(iv) none of these
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Question 9.
For what value of p, the point (p, 4) lies on the line 3x + y =10?
(i) 4
(ii) 2
(iii) 6
(iv) none of these
For what value of p, the point (p, 4) lies on the line 3x + y =10?
(i) 4
(ii) 2
(iii) 6
(iv) none of these
Question 10.
For what value of x, the expressions 2x – 20 and 48 – 2x are equal ?
(i) 40
(ii) 18
(iii) 17
(iv) none of these
For what value of x, the expressions 2x – 20 and 48 – 2x are equal ?
(i) 40
(ii) 18
(iii) 17
(iv) none of these
Answer
Class 9 Maths Ncert Pdf
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