**NCERT Solution For Class 10, Maths, Quadratic Equations, Exercise 4.1** is given below with step by step explanations by using important quadratic equations. Class 10 maths chapter 4 ex 4.1 contains total two questions to practice.

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Toggle## Class 10, Maths, Chapter 4, Exercise 4.1 Solutions

**Q.1. Check whether the following are quadratic equations:**

**(i) (x + 1) ^{2} = 2(x – 3) **

**(ii) x ^{2} – 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) x ^{2} + 3x + 1 = (x – 2)^{2}**

**(vii) (x + 2) ^{3} = 2x (x^{2} – 1)**

**(viii) x ^{3} – 4x^{2} – x + 1 = (x – 2)^{3}**

**Ans:**

**Q.2. Represent the following situations in the form of quadratic equations :**

**(i) The area of a rectangular plot is 528 m ^{2}. 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 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.**

**Ans:**

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