NCERT Solutions Class 10 Maths Chapter 4
NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations
Extramarks offers NCERT Solutions for Class 10 Mathematics Chapter 4 to help students practise the exercise questions given at the end of the Chapter in the NCERT textbook. Class 10 Mathematics chapter 4 solutions have answers written in a step-by-step manner so that students find it easier to understand the concept. The subject matter experts at Extramarks have prepared the solutions while keeping in mind the guidelines by CBSE.
NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations
Access NCERT Solutions for Class 10 Maths Chapter 4 – Quadratic Equations
NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations – Download
Class 10 Mathematics Chapter 4 Solutions on Extramarks have answers to all the questions given at the end of the chapter in the NCERT textbook. The answers are written in simple language and are easy to comprehend. Students can refer to these solutions to cross-check their answers, solve the questions, and for last-minute preparation.
NCERT Solutions for Class 10 Maths
Mathematics is one of the most scoring subjects and therefore your overall performance in the exams depends upon how well you have done in your Mathematics subject. Let’s look at the chapters included in Class 10 Mathematics:
- Chapter 1 – Real Numbers
- Chapter 2 – Polynomials
- Chapter 3 – Pair of Linear Equations in Two Variables
- Chapter 4 – Quadratic Equations
- Chapter 5 – Arithmetic Progressions
- Chapter 6 – Triangles
- Chapter 7 – Coordinate Geometry
- Chapter 8 – Introduction to Trigonometry
- Chapter 9 – Some Applications of Trigonometry
- Chapter 10 – Circles
- Chapter 11 – Constructions
- Chapter 12 – Areas Related to Circles
- Chapter 13 – Surface Areas and Volumes
- Chapter 14 – Statistics
- Chapter 15 – Probability
What is the advantage of Class 10 Maths NCERT Solutions Chapter 4 by Extramarks?
There are numerous benefits of referring to NCERT Solutions for Class 10 Mathematics Chapter 4 Quadratic Equations. Let’s know about some of those advantages.
- Detailed Answer to Problems: All the answers in NCERT Solutions for Class 10 Mathematics Chapter 4 are prepared by subject matter experts. The explanations are in-depth making it easier for students to understand the reasoning behind the answer.
- Revision is Easy: Class 10 Mathematics Chapter 4 NCERT Solutions make it easier for students to revise their exercises anytime. Quick notes provided with the exercises help revise the important points and thus recall all the formulas, applications, and other essential points.
- Time-Saving for Students: With Class 10 Mathematics Chapter 4 Solutions, students need not waste time going through several study materials to find accurate answers. They will find the answers to every question in the textbook in the solutions by Extramarks.
Q1. The equation (x−705)(x−795)+800(x−750)(x−835)=0 has
- imaginary roots
- Equal roots
- Distinct real roots
- None of these
Ans. Imaginary roots
Q.2 Represent the following situations in the form of quadratic equations:
1. The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.
2. The product of two consecutive positive integers is 306. We need to find the integers.
3. Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.
4. A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.
Q.4 Solve the problems given in Example 1.
(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
(ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was ₹ 750. We would like to find out the number of toys produced on that day.
Q.5 Find two numbers whose sum is 27 and product is 182.
Q.6 Find two consecutive positive integers, sum of whose squares is 365.
Q.7 The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Q.8 A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was ₹ 90, find the number of articles produced and the cost of each article.
Q.13 In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.
Q.15 The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
Q.16 A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.
Q.18 An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains.
Q.19 Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares.
Q.21 Find the values of k for each of the following quadratic equations, so that they have two equal roots.
(i) 2x2 + kx +3 = 0
(ii) kx(x – 2) + 6 = 0
Q.22 Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Q.23 Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.
Q.24 Is it possible to design a rectangular park of perimeter 80 m and area 400 m2? If so, find its length and breadth.
FAQs (Frequently Asked Questions)
1. What is the unit-wise mark weightage for Class 10 Mathematics?
The below chart will provide you with information about unit-wise weightage for class 10 Mathematics:
Unit I: Number Systems – 06 Marks
Unit II: Algebra – 20 Marks
Unit III: Coordinate Geometry – 06 Marks
Unit IV: Geometry – 15 Marks
Unit V: Trigonometry – 12 Marks
Unit VI: Mensuration – 10 Marks
Unit VII: Statistics & Probability – 11 Marks
2. What important topics do NCERT Class 10 Mathematics Chapter 4 Solutions contain?
Class 10 Mathematics chapter 4 NCERT solutions contain the following topics:
- Exercise 4.1- Introduction
- Exercise 4.2- Quadratic Equations
- Exercise 4.3- Solution of a Quadratic Equation by Factorisation
- Exercise 4.4- Solution of a Quadratic Equation by Completing the Square
- Exercise 4.5- Nature of Roots
3. How and from where can I getNCERT Solutions for Class 10 Mathematics Chapter 4?
You can access NCERT Solutions for Class 10 Mathematics Chapter 4 from the official website of Extramarks.