definition

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Jul

☼ Types of roots of a Quadratic Equation : There are four different types of roots associated with a Quadratic Equation.

(i) Rational and Distinct

e.g. Solve : 3 x² +…

Posted in: Types of roots of a Quadratic Equation,

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Jul

Quadratic Equation

…

Posted in: Quadratic Equation,

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Jul

Index

Posted in: Index,

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Jul

Examples 11 to 15

(11) A father is now five times as old as his son. Five years ago, he was nine times as old as his son. Find their present ages.

Soln. Let age of the father = x and that of the son = y

We are given that, x = 5y …

Posted in: Examples 11 to 15,

Tags: educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math,

Jul

Examples 4 to 10

(4) Solve : $\frac{7}{x+y}$ – $\frac{15}{x-y}$ = …

Posted in: Examples 4 to 10,

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19

Jul

Examples 1 to 3
(1) Solve :   3x – 2y = 1, 5x + 3y = 8.

Soln. First of all,

3x – 2y – 1 =   0

5x + 3y – 8 =   0

$\therefore$   Solution…

Posted in: Examples 1 to 3,

Tags: mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir,

19

Jul

Dependent Equation
☼ Dependent Equation ( Parallel Lines ) : The equation of the type ax + by = c and kax + kby = kc   are known as dependent equations ( or parallel lines ).

Short method to solve the pair of linear equations…

Posted in: Dependent Equation,

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19

Jul

System of Linear Equations
☼ System of Linear Equations :

▪ Consistent System :   A system consisting of two simultaneous linear equations is said to be consistent, if it has at least one solution.

▪

Posted in: System of Linear Equations,

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19

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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19

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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