theorems

Parin Sir > theorems

Jul

Cramer’s Rules

☼ Cramer’s Rules ( for homogeneous system ):

If l₁ : a₁x + b a₁y = 0

and l₂ : a a₂x + b a₂y = 0

( Where, a_i

Posted in: Cramer’s Rules,

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Jul

The homogeneous equation in two variables

☼ The homogeneous equation in two variables : The equation of the form ax + by = 0 ( Where, a, b are real numbers and a²+ b² $\ne$

Posted in: The homogeneous equation in two variables,

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Jul

Cramer’s Rules :

☼ Cramer’s Rules :

If l₁ : a₁x + b₁y + c₁ = 0

and l<...

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Jul

Linear Equation in two variables

☼ Linear Equation in two variables : The equation of the form ax + by + c = 0

( Where, a, b, c are real numbers and a² + b² $\ne$

Posted in: Linear Equation in two variables,

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Jul

Simple Equations

☼ Simple Equations ( Linear Equation in one variable ) : Simple equations are equations which generally have only one variable.

e.g. 2x – 3 = 7

Note : Linear Equation means the equatio…

Posted in: Simple Equations,

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Jul

Equation

☼ Equation : The mathematical form of a complete sentence is called an equation.

e.g. After giving Rs. 5000 from my saving to Dinesh, I have the balance of Rs. 10000.

Posted in: Equation ,

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18

Jul

Linear Equations
☼ Polynomial : The mathematical form of an incomplete sentence is called a polynomial.

e.g. I gave Rs. 5000 from my saving to Dinesh.

$&space... </p> <div class=$

Posted in: Linear Equations,

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18

Jul

Index

Divisor

H.C.F. of Polynomials

L.C.M.

Posted in: Index,

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18

Jul

Examples
(1) Find the H.C.F. and L.C.M. of

(i) 8x² + 2x – 21 and 10x² – 11x – 6 (ii) 8 ( x³ + x² + x ) and 28 ( x⁵ – x² )

Soln. (i)

…

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18

Jul

L.C.M.
☼L.C.M. : A polynomial p(x) is called the L.C.M. of two or more given polynomials, if it is a polynomial of smallest degree which is divided by each one of the given polynomials….

Posted in: L.C.M.,

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