Class 10th math chapter 2 all exercises notes download
THEORY OF QUADRATIC
EQUATIONS
Class 10 Math Notes
In this unit, students will learn how to
> define discriminant (b2 -4ac) ofthe quadratic expression ax2 + bx + c.
> find discriminant ofa given quadratic equation.
discuss the nature of roots of a
quadratic equation through
discriminant.
determine the nature ofroots of a given quadratic equation and verify
the result by solving the equation.
when the nature ofits roots is given.
find cube roots ofunity.
> recognize complex cube roots ofunity as and o?
> prove the properties ofcube roots ofunity.
> find the relation between the roots and the coefficients of a quadratic
equation.
solving it.
> find the value(s) ofunknown(s) involved in a given quadratic equaiion
when
sum ofthe squares ofroots is equal to a given number,
roots differ by a given number,
roots satisfy a given relation (e.g., the relation 2a+ 5B= 7 where a
and Bare the roots ofgiven equation),
both sum and product ofroots are equal to a given number.
define symmetric functions ofroots ofa quadratic equation.
evaluate a symmetric function ofthe roots ofa quadratic equation in
terms ofits coefficients.
establish the formula,
x2 - (sum of roots)x + (product ofroots) = 0,
• 2a+1, 2B+1,
• a', p2,
1
a' B'
a B
B' a'
a' B'
> describe the method of synthetic division.
linear polynomial,
• find the value of unknown if the zero of a polynomial given,
* find the value of unknown ifthe factor of a polynomial given,
solve a cubic equation ifone root of the equation is given,
solve a biquadratic (quartic) equation iftwo of the real roots ofthe
equation are given.
23 solve a system oftwo equations in two variables when
•one equation is linear and the other is quadratic,
both the equations are quadratic.
Read more : class 10th maths chapter 1 notes
 |
| Class 10th Math Notes |
Summary
Discriminant of the quadratic expression ax2 + bx + c is "b2 - 4ac".
The cube roots of unity are 1, + V-3
and -1--3
Properties of cube roots of unity.
(d)
The sum of all the cube roots of unity is zero, i.e., 1 + + w2 = 0
Theory cf Quadratic Equations
48
The roots of the quadratic equation ax2 + bx + c = 0, a ± 0 are
_-b+yb2-4ac
and B=-b-Nb2-4ac
2a
2а
The sun and the product of the roots of ax2 + bx + c = 0, a = 0 are
a+ B=-
b
a
C
and aB = -
class 10th maths chapter 2 exercise
2.1 , 2.2 , 2.3 , 2.4 , 2.5 , 2.6 , 2.7 , 2.8
and review exercise PDF download
class 10th math Ch 2 exercise
class 10 math chapter 2 notes
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