- Quadratic Polynomial
- |
- Graphing quadratics Polynomial
- |
- what is a quadratic equation
- |
- How to Solve Quadratic equations
- |
- Factoring quadratics equations
- |
- Solving quadratic equations by completing the square
- |
- Solving quadratic equations by using Quadratic formula
- |
- Nature of roots of Quadratic equation
- |
- Problem based on discriminant of a quadratic equation
- |
- Quadratic word problems

- NCERT Solutions Quadratic Equation Exercise 1
- |
- NCERT Solutions Quadratic Equation Exercise 2
- |
- NCERT Solutions Quadratic Equation Exercise 3
- |
- NCERT Solutions Quadratic Equation Exercise 4

Given below are the

- Concepts questions
- Calculation problems
- Multiple choice questions
- Long answer questions
- Fill in the blank's

- x
^{2}+ x+7=0 - 3x
^{2}+6x+1=0 - 9x
^{2}+x +3=0 - 11x
^{2}-12x-1=0 - -13x
^{2}+3x+7=0 - 2x
^{2}-6x+3=0 - x-(1/x)-3=0 x≠0
- –x
^{2}-2x-2=0

S.no |
Condition |
Nature of roots |

1 |
b^{2} -4ac > 0 |
Two distinct real roots |

2 |
b^{2}-4ac =0 |
One real root |

3 |
b^{2}-4ac < 0 |
No real roots |

No real roots : (a) ,(c),(h)

a) x

b) x

a)

x

x(x-5) +2(x-5)=0

(x+2)(x-5)=0

So roots are x=-2 and 5

b) Roots are 5 and 6

a) x

b) 2x

Solution

a)

(x+4/2)

(x+2)

(x+2)

x+2=±3

x=1 or -5

b)

(x-7/4)

(x-7/4)

(x-7/4)

x-7/4=±5/4

or

x=1/2 or 3

a) There are no reals roots of the quadratic equation x

b) The roots of the equation x

c) A quadratic equation can have at most 2 real roots

d) In a quadratic equation ax

e) In a quadratic equation ax

f) for k > 0,the quadratic equation 2x

g) if the roots of the quadratic equation are rational, the coefficient of the term x will also be rational.

h) if the roots of the quadratic equation are irrational, the coefficient of the term x will also be irrational

I) Every quadratic equation will have rational roots

- True
- True
- True
- false
- True
- True
- true
- true
- False

a) 21

b) 13

c)11

d) 12

x

x

x= 12 or -9

So answer is 12

x

a) (4,10)

b) (-4,10)

c) (-4,-10)

d) (4,-10)

x

a) is a quadratic equation

b) is not a quadratic equation

x

a) are real

b) are not real

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- Mathematics Foundation Course for JEE/AIPMT/Olympiad Class : 10 (by mtg)
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- Class Companion - Class 10 Mathematics