Class 10 Exam > Class 10 Notes > Exercise 4.1 - NCERT Solutions - Part - 2 - Quadratic Equations, Class 10, Maths
Exercise 4.1 - NCERT Solutions - Part - 2 - Quadratic Equations, Class 10, Maths PDF Download
Exercise 4.1 (NCERT Solution) - Part - 2
Question: 2 – Represent the following situation in the form of quadratic equation:
(i) The area of a rectangular plot is 528 m2. The length of the plot (in meters) is one more than twice its breadth. We need to find the length and breadth of the plot.
Solution:
Since, the equation is in the form of 
So, it is a quadratic equation.
(ii) The product of two consecutive positive integers is 306. We need to find the integers.
Solution:
Since, the equation is in the form of 
So, it is a quadratic equation.
(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 the Rohan’s age.
Solution:
Since, the equation is in the form of 
So, it is a quadratic equation.
(iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.
Solution:
Since, the equation is in the form of 
So, it is a quadratic equation.
FAQs on Exercise 4.1 - NCERT Solutions - Part - 2 - Quadratic Equations, Class 10, Maths
| 1. What are quadratic equations? |  |
Ans. Quadratic equations are algebraic equations of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0. These equations have a degree of 2 and can have two solutions, which can be real or complex.
| 2. How do you solve quadratic equations? | |
Ans. Quadratic equations can be solved using various methods such as factorization, completing the square, and using the quadratic formula. These methods help in finding the values of x that satisfy the equation and make it true.
| 3. What is the discriminant of a quadratic equation? | |
Ans. The discriminant of a quadratic equation is the expression inside the square root in the quadratic formula, which is b^2 - 4ac. It helps determine the nature of the roots of the quadratic equation. If the discriminant is positive, the equation has two distinct real roots. If it is zero, the equation has one real root. And if it is negative, the equation has two complex roots.
| 4. How are quadratic equations used in real life? | |
Ans. Quadratic equations have various applications in real life, such as in physics, engineering, and economics. They can be used to model and solve problems related to projectile motion, optimization, profit and loss, and many other situations where the relationship between variables is quadratic.
| 5. Can quadratic equations have no solutions? | |
Ans. Yes, quadratic equations can have no solutions. This happens when the discriminant is negative, indicating that the equation has two complex roots. In such cases, there are no real solutions that satisfy the equation.
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