Ncert solution for class10math ch3 exercise 3.6

Ncert solution for class10math ch3 exercise 3.6

Important Questions – Answers For Practice

1. Sunita has some ₹ 50 and ₹ 100 notes amounting to a total of ₹ 15,500. If the total number of notes is 200, the find how many notes of ₹ 50 and ₹ 100 each, she has. [Answer: ₹50 notes = 90, ₹100 notes = 110]
2. The electric bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month 200 units are consumed, the bill is ₹107. In another month, 300 units are consumed and the bill is ₹154. If yet another month, 500 units are consumed, find the bill for the month. [Answer: ₹248]
3. Solve graphically the pair of linear equations 3x – 4y + 3 = 0 and 3x + 4y – 21 = 0. Find the co-ordinates of vertices of triangular region formed by these lines and x-axis. Also calculate the area of this triangle. [Answer: Solutions (3, 3). Vertices: (-1, 0), (7, 0) and (3, 3). Area = 12 square units]

Questions From Board Papers

1. A railway half ticket costs half the full fare and the reservation charges is same on half ticket as on full ticket. One reserved first class ticket from Mumbai to Ahmedabad costs ₹216 and one full and one half reserved first class ticket costs ₹327. What is the basic first class full fare and what is the reservation charge? [Answer: Fare = ₹210 reservation charge = ₹6]
2. A man travels 600 km to his home partly by train and partly by bus. He takes 8 hours, if he travels 120 km by train and rest by bus. Further, it takes 20 minute longer, if he travels 200 km by train and rest by bus. Find the speeds of the train and the bus. [Answer: 60 km/h, 80 km/h]

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NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.5

NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.5

NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.5 pair of linear equations in two variables in PDF form modified as per latest NCERT/CBSE Curriculum 2020-21 free to download or use online for users.

Important Extra Questions With Answers

1. Solve the pair of linear equations: 152x – 378y = – 74; – 378x + 152y = – 604. [Answer: 2, 1]

2. Pinky scored 40 marks in a test getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks were deducted for each wrong answer, then Pinky again would have scored 40 marks. How many questions were there in the test? [Answer: 40]

3. A fraction is such that if the numerator is multiplied by 2 and the denominator is increased by 2, we get 5/4. But if the numerator is increased by 1 and the denominator is doubled, we get 1/2. Find the fraction. [Answer: 5/6]

4. A two digit number is obtained by either multiplying sum of digits by 8 and adding 1 or by multiplying the difference of digits by 13 and adding 2. Find the number. [Answer: 41]

5. The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determine the fraction. [Answer: 5/9]

Questions From CBSE Examinations

1. Father’s age is three times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children. Find the age of the father. [Answer: 45 years]

2. Five years ago, A was thrice as old as B and ten years later A shall be twice as old as B. What are the present ages of A and B? [Answer: A = 50 years, B = 20 years]

3. On selling a T.V. at 5% gain and a fridge at 10% gain, a shopkeeper gain ₹ 2000. But if he sells the T.V. at 10% gain and fridge at 5% loss, he gains ₹ 1500 on the transaction. Find the actual price of the T.V. and the fridge. [Answer: TV = ₹20222, Fridge = ₹10000]

4. Father’s age is 3 times the sum of ages of his two children. After 5 years, his age will be twice the sum of the ages of two children. Find the age of father. [Answer: 45 years]

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NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.4 / NCERT

NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.4
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NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.4 pair of linear equations in two variables in Hindi Medium and English Medium in PDF download or View in Video Format or study online for session 2020-21.

NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.4
Class: 10
Subject: Maths – गणित
Chapter 3: Exercise 3.4
10 Maths Chapter 3 Exercise 3.4 Solutions
NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.4 in English & Hindi medium online to use or download in PDF form free for academic session 2020-21. Download all Exercises of Class 10 Maths Chapter 3 Solutions main page. Download Offline Apps 2020-21 based on latest NCERT Books 2020-2021.

Class 10 Maths Exercise 3.4 Solutions
10th Maths Exercise 3.4 Solutions in English
10th Maths प्रश्नावली 3.4 का हल हिंदी में
Download 10th Maths Exercise 3.4 in PDF
Class 10 Maths Chapter 3 Main Page

Important Questions On Linear Equations

1. Two numbers are in the ration of 5:6. If 8 is subtracted from each of the numbers, they become in the ratio of 4:5. Find the numbers. [Answer: 40, 48]
2. Given the linear equation 2x + 3y – 12 = 0, write another linear equation in these variables, such that. geometrical representation of the pair so formed is (i) Parallel Lines (ii) Coincident Lines. [Answer: (i). 4x+6y+10=0, (ii). 4x+6y-24=0]
3. The ratio between girls and boys in a class of 40 students is 2:3. Five new students joined the class. How many of them must be boys so that the ratio between girls and boys becomes 4:5? [Answer: 1]
4. The difference of two number is 66. If one number is four times the other, find the numbers. [Answer: 88, 22]
5. A sum of money was distributed equally among a certain number of children. If there were 10 children more, each would get a rupee less. But if there were 15 children less, each would get of ₹3 more. Find the sum of money distributed and also the number of children. [Answer: ₹200, 40]

Important Questions With Answers
1. For what value of k, the following system of equations will be inconsistent: kx + 3y = k – 3; 12x + ky = k. [Answer: k=-6]
2. Solve graphically the pair of linear equations 5x – y = 5 and 3x – 2y = – 4 Also find the co-ordinates of the points where these lines intersect y-axis. [Answer: (2, 5), (0, -5) and (0, 2)]
3. A number consists of two digits. When it is divided by the sum of the digits, the quotient is 6 with no remainder. When the number is diminished by 9, the digits are reversed. Find the number. [Answer: 54]
4. For what values of a and b the following pair of linear equations have infinite number of solutions?
2x + 3y = 7; a(x + y) – b(x – y) = 3a + b – 2. [Answer: a=5, b=1]
5. The sum of a two digit number and the number obtained by interchanging the digits is 132

. If the two digits differ by 2, find the number. [Answer: 75 or 57]

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NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.3 NCERT Solutions for class 10

 Solutions For Class 10 Maths Chapter 3 Exercise 3.3
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NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.3 pair of linear equations in two variables in Hindi Medium and English Medium or View in Video Format free updated for new academic session 2020-21.

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NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.3
Class: 10
Subject: Maths – गणित
Chapter 3: Exercise 3.3
10 Maths Chapter 3 Exercise 3.3 Solutions
NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.3 in Hindi and English medium are given below to use it online or download in PDF form free. If you want to download, the link is given at the same page. NCERT Solutions Offline Apps 2020-21 are updated for current academic session 2020-21 to use offline.


Class 10 Maths Exercise 3.3 Solutions
10th Maths Exercise 3.3 Solutions in English
10th Maths प्रश्नावली 3.3 का हल हिंदी में
Download 10th Maths Exercise 3.3 in PDF
Class 10 Maths Chapter 3 Main Page
Important Question Based On 10th Maths Chapter 3
1. Form a pair of linear equations for: The sum of the numerator and denominator of the fraction is 3 less than twice the denominator. If the numerator and denominator both are decreased by 1, the numerator becomes half the denominator. [Answer: x-y=-3, 2x-y=1]
2. A jeweler has bars of 18 carat gold and 12 carat gold. How much of each must be melted together to obtain a bar of 16 carat gold, weighing 120g? It is given that pure gold is 24 carat. [Answer: 80g of 18 carat gold and 40g of 12 carat gold]
3. For what value of p the pair of linear equations (p + 2)x – (2p + 1)y = 3(2p – 1) and 2x – 3y = 7 has a unique solution. [Answer: p≠4]
4. The sum of the prices of a Sofa and table is ₹2340 and the difference of their prices is ₹140. 5. Find the price of each. [Answer: Sofa = ₹1240, table = ₹1100]
60 copies of Mathematics books and 40 copies of English books cost ₹2220. Also, 40 copies of Mathematics books and 50 copies of English books cost ₹1900. Find the cost of one Mathematics book and one English book separately. [Answer: Mathematics book = ₹25, English book = ₹18]

Important Question For Practice
1. Solve for x and y: 3x + 2y = 11 and 2x + 3y = 4. Also find p if p = 8x + 5y. [Answer: x=5, y=-2, p=30]
2. If three times, the greater of the two numbers is divided by the lesser, we get the quotient 6 and remainder 6. If 5 times the lesser number is divided by the greater, we get the quotient 2 and the remainder 3. Find the two numbers. [Answer: 16, 7]
3. Solve the pair of linear equations by substitution method x – 7y + 42 = 0 and x – 3y – 6 = 0. [Answer: 42, 12]
4. Ram is walking along the line joining (1, 4) and (0, 6). Rahim is walking along the line Joining (3, 4) and (1, 0). Represent on graph and find the point where both of them cross each other. [Answer: (2, 2)]

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NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.2

NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.2

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NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2 pair of linear equations in two variables in Hindi Medium and English Medium updated for new academic session 2020-2021 based on latest NCERT Books.

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NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.2

Class:10Subject:Maths – गणितChapter 3:Exercise 3.2

10 Maths Chapter 3 Exercise 3.2 Solutions

NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2 in English medium and Hindi Medium are given below updated for CBSE Academic session 2020-2021. To download solutions visit at NCERT Solutions for class 10 Maths Chapter 3 main page. Join the Discussion Forum to share your knowledge with the other users.

Class 10 Maths Exercise 3.2 Solutions

10th Maths Exercise 3.2 Solutions in English

10th Maths प्रश्नावली 3.2 का हल हिंदी में

Class 10 Maths Chapter 3 Main Page

Important Questions For Practice

1. Find the value of k for which pair of linear equations 3x + 2y = –5 and x – ky = 2 has a unique solution. [Answer: k≠-2/3]
2. Express y in terms of x in the expression 3x – 7y = 10. [Answer: y = (3x-10)/7]
3. Find three consecutive numbers such that seven times the smallest number may be equal to three times the sum of the other two. [Answer: 9, 10, 11]
4. If 2x + 5y = 4, write another linear equation, so that lines represented by the pair are coincident. [Answer: 4x+10y=8]
5. Jamila sold a table and a chair for ₹1050, thereby making a profit of 10% on the table and 25% on the chair. If she had taken a profit of 25% on the table and 10% on the chair, she would have got ₹1065. Find the cost price of each. [Answer: Cost of table = ₹500, cost of chair = ₹400]
6. Check whether the graph of the pair of linear equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0 is intersecting lines or parallel lines. [Answer: parallel lines]

QUESTIONS FROM CBSE BOARD PAPERS

1. A number consists of three digits whose sum is 17. The middle are exceeds the sum of the other two by 1. If the digits be reversed, the number is diminished by 369. Find the number. [Answer: 692]
2. If the lines 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then find value of k. [Answer: k=15/4]
3. After covering a distance of 30 km at a uniform speed, there is some defect in a train engine and therefore, its speed is reduced to 4/5 to its original sp

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eed. Consequently, the train reaches its destination late by 45 minutes. Had it happened after covering 18 km more, the train would have reached 9 minutes earlier than it did. Find the speed of the train and the length of the journey. [Answer: Speed = 30 km/h, length of journey = 120 km]

4. If we draw lines of x = 2 and y = 3 what kind of lines do we get? [Answer: intersecting lines]
5. A 90% acid solution is mixed with a 97% acid solution to obtain 21 litres of a 95% solution. Find the quantity of each of the solutions to get the resultant mixture. [Answer: 6 litres 90% solutions and 15 litres 97% solutions].
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NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.1

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NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.1

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NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.1 pair of linear equations in two variables download in PDF form or use it online. NCERT Solutions for class 10 Maths are now updated for new academic session 2020-21.

NCERT Solutions Offline Apps 2020-2021 of Solutions are modified as per latest CBSE Curriculum 2020-21 in both the medium (Hindi Medium and English Medium) or View in Video Format applicable for UP Board, Gujrat board as well as CBSE board NCERT Books. Download (Exercise 3.1) in PDF format.

NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.1

Class:10Subject:Maths – गणितChapter 3:Exercise 3.1

10 Maths Chapter 3 Exercise 3.1 Solutions

NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.1 in English medium and Hindi Medium are given below updated for new academic session 2020-21. Download options are given on the page or on main page of NCERT Solutions Class 10 Maths Chapter 3. Visit to Discussion Forum to ask your doubts and answers to the questions asked by others.

Class 10 Maths Exercise 3.1 Solutions

10th Maths Exercise 3.1 Solutions in English

10th Maths प्रश्नावली 3.1 का हल हिंदी में

Download 10th Maths Exercise 3.1 in PDF

Class 10 Maths Chapter 3 Main Page

Important Terms For Pair Of Linear Equations

The graph of a pair of linear equations in two variables is represented by two lines.
1. If the lines intersect at a point, the pair of equations is consistent. The point of intersection gives the unique solution of the equations.
2. If the lines are parallel, then there is no solution the pair of linear equations is inconsistent.
3. If the lines coincide, then there are infinitely many solutions. The pair of linear equations is consistent. Each point on the line is a solution of both the equations.

Important Questions For Practice

1. If x = 3m –1 and y = 4 is a solution of the equation x + y = 6, then find the value of m. [Answer: m=1]
2. What is the point of intersection of the line represented by 3x – 2y = 6 and the y-axis. [Answer: (0, -3)]
3. In a deer park, the number of heads and number of legs of deer and human visitors were counted and it was found that there were 39 heads and 132 legs. Find the number of deer and human visitors in the park. [Answer: Dear: 27, Visitors: 12]
4. For what value of p, system of equations 2x + py = 8 and x + y = 6 have no solution. [Answer: p=2]
5. From Delhi station if we buy 2 tickets to station A and 3 tickets to station B, the total cost is ₹77, but if we buy 3 tickets to station A and 5 tickets to station B, the total cost is ₹124. What are fares from Delhi to station A and to station B? [Answer: ₹13, ₹17]
6. A motor cyclist is moving along the line x – y = 2 and another motor cyclist is moving along the line x – y = 4 find out their moving direction. [Answer: move parallel]
7. A farmer sold a calf and a cow for ₹760, thereby, making a profit of 25% on the calf and 10% on the cow. By selling them for ₹767.50, he would have realised a profit of 10% on the calf and 25% on the cow. Find the cost of each. [Answer: Cost of cow = ₹350, cost of calf = ₹300]

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