# EXERCISE4.1

*NC**ERT** Solutions for Class 10 Maths Chapter 4 (Quadratic Equations**)*

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*Solutions for Class 10 Maths Chapter 4 (Quadratic Equations*

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**NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations of exercise 4.1***(Class 10 Ex. 4.1)* for all boards. We have updated all the contents for the new academic session 2020-2021.

*(Class 10 Ex. 4.1)*for all boards

You can download this PDF for free and start your preparation to get maximum marks in upcoming and Board examinations. **Gicsu** **NCERT** Solution

**(Math Class 10 Ex. 4.1) ** PDF helps you in your preparation with exercise differentiation so that you can read each chapter more easily and can come back to any chapter again if necessary.

## NCERT Solutions for Class 10 Maths (Introduction)

**Pair of Linear Equations in Two Variables of exercise 4.1( ***Maths Class 10 ex 4.1*) you have studied the following points:

*Maths Class 10 ex 4.1*)

- A quadratic equation in the variable x is of the form ax² + bx + c = 0, where a, b, c are real numbers and a ≠ 0.
- A real number α is said to be a root of the quadratic equation ax²+ bx + c = 0, if aα²+ bα + c = 0. The zeroes of the quadratic polynomial ax²+ bx + c and the roots of the quadratic equation ax²+ bx + c = 0 are the same.
- If we can factorise ax²+ bx + c, a ≠ 0, into a product of two linear factors, then the roots of the quadratic equation ax²+ bx + c = 0 can be found by equating each factor to zero.
- A quadratic equation can also be solved by the method of completing the square.
- A quadratic equation ax²+ bx + c = 0 has: (i) two distinct real roots, if b²– 4ac > 0, two equal roots (i.e., coincident roots), if b²– 4ac = 0, and (iii) no real roots, if b²– 4ac < 0.

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.1* (Math Class 10 Ex. 4.1)*