10th Mathematics Online Test English Medium
Chapter 4 Quadratic Equations
Class 10 Mathematics Chapter 4 Quadratic Equations Multiple Choice Questins Quiz / MCQ Quiz online test base on NCERT useful for NTSE Maths Olympiad Board Exam Important Questions.
- टेस्ट में कुल प्रश्न =10
- Check your score at the end of quiz.
- Each correct answer = 1 mark, wrong answer = 0 marks.
10th Maths Online Test: Quadratic Equations | |
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Real Numebrs Chapter 1 class 10 Basic Concepts
1.Quadratic Equation:
A quadratic equation in the variable $x$ is of the form $a x^{2}+b x+c=0$, where $a, b, c$ are real numbers and $a \neq 0$.
2.Roots of a Quadratic Equation:
A real number $\alpha$ is said to be a root of the quadratic equation $a x^{2}+b x+c=0$, if $a \alpha^{2}+b \alpha+c=0$. The zeroes of the quadratic polynomial $a x^{2}+b x+c$ and the roots of the quadratic equation $a x^{2}+b x+c=0$ are the same.
3. Quadratic formula:
The roots of a quadratic equation $a x^{2}+b x+c=0$ are given by $\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$, provided $b^{2}-4 a c \geq 0$.
4. Nature of Roots of a Quadratic Equation:
A quadratic equation $a x^{2}+b x+c=0$ has
(i) two distinct real roots, if $b^{2}-4 a c>0$,
(ii) two equal roots (i.e., coincident roots), if $b^{2}-4 a c=0$, and
(iii) no real roots, if $b^{2}-4 a c<0$.