# NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2

NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2 (10 Maths Ex. 3.2) pair of linear equations in two variables in Hindi Medium and English Medium. All the CBSE NCERT solutions of 10th Maths are updated for new academic session 2020-2021. It is based on latest NCERT Books issued for academic year 2020-2021. Uttar Pradesh Board, Prayagraj also implemented NCERT Textbooks for their students in session 2020-21, so these CBSE Solutions are useful UP Board students also. Download UP Board Solutions for class 10 Maths Chapter 3 Exercise 3.2 in Hindi Medium. All the contents on Tiwari Academy are free.

Download these solutions or View in Video Format free for CBSE board, Gujrat board and UP Board students using NCERT Books 2020-21. Download Offline Apps of CBSE Solutions based on latest CBSE Syllabus 2020-21.## NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2

Class: 10 | Maths (English and Hindi Medium) |

Chapter 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 in Video

#### Important Questions on Class 10 Chapter 3 for Practice

- 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]
- Express y in terms of x in the expression 3x – 7y = 10. [Answer: y = (3x-10)/7]
- 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]
- If 2x + 5y = 4, write another linear equation, so that lines represented by the pair are coincident. [Answer: 4x+10y=8]
- 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]
- 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 speed. 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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##### Romila went to a stationery shop and purchased 2 pencils and 3 erasers for Rs 9. Her friend Sonali saw the new variety of pencils and erasers with Romila, and she also bought 4 pencils and 6 erasers of the same kind for Rs 18. Represent this situation algebraically.

Let us denote the cost of 1 pencil by x and one eraser by y. Then the algebraic representation is given by the following equations:

2x + 3y = 9 …(1)

4x + 6y = 18 …(2)

##### If two linear equation in two variables are intersecting at one common point. How many solutions are their?

The common point on both the lines, there is one and only one solution for the pair of linear equations in two variables.

##### How many solutions are their for two parallel lines?

Parallel lines never intersect each other. So, there is no solutions for these system of linear equations.

##### If the graph of two linear equations are coincide, how many solutions are there?

If the lines are coincident, then every point on the line is the solutions for the equations. There are infinitely many solutions.