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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Q. 1. The zeros of $4 x^{2}+1-4 x$ are:

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Q. 2. The zeros of $x^{2}+7 x+10$ are:

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Q. 3. If $a, \beta, \gamma$ are the zeros of cubic polynomial $a x^{3}+b x^{2}+c x+d$, then the value of $\alpha \beta \gamma$ is:

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Q. 4. The zeros of $3 x^{2}-4-x$ are:

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Q. 5. A polynomial with two degree is called:

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Q. 6. The product of zeros of quadratic equation $x^{2}-2 x-8$ is:

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Q. 7. The zeros of quadratic polynomial $4 x^{2}+87 x+125$ are:

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Q. 8. The product of zeros of quadratic equation $x^{2}+7 x+10$ is:

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Q. 9. The sum of zeros of quadratic equation $x^{2}-2 x-8$ is:

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Q. 10. The zeros of $x^{2}+3 x-(b+2)(b-1)$ are:



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 $b^{2}-4 a c<0$.