NCERT Solutions for Class 10 Maths Chapter 4 - Quadratic EquationsShare
Being one of the important and mandatory units for scoring good marks in the board examination, NCERT Mathematics Solutions for Class 10th Chapter 4 Quadratic Equation is the crucial study material for the students. Here in these Solutions, you will find the concepts of the topics in a simple and easy to understand language and detailed answers to all the questions of the NCERT textbook in a well-structured manner. Avail these NCERT Solutions at free of cost for performing better in the examination.
The Chapter 4- Quadratic Equation introduces students with the important topics related to Quadratic Equation, the Solutions of Quadratic Equations by Factorization, Solution of Quadratic Equation by completing the square and nature of roots and many such topics. Refer to these complete NCERT Solutions to gain good scores in your examinations and for doing daily homework.
NCERT Solutions for Class 10 Maths Chapter 4 - Quadratic Equations
Check whether the following are quadratic equations :
(i) (x + 1)2 = 2 (x - 3)
(ii) x2 – 2x = (-2)(3 – x )
(iii) (x – 2 )(x + 1) = (x – 1)(x + 3)
(iv) (x – 3 )(2x + 1) = x(x + 5)
(v) (2x – 1)(x – 3 ) = (x + 5)(x – 1 )
(vi) x2 + 3x + 1 = (x – 2 )2
(vii) (x + 2)3 = 2x (x2 - 1)
(viii) x3 – 4x2 – x + 1 = (x - 2)3
Represent the following situations in the form of quadratic equations :
(i) 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.
(ii) The product of two consecutive positive integers is 306. We need to find the integers.
(iii) 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.
(iv) A train travels a distance of 480 km at a uniform speed. If the speed had been8 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.
|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|