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Jul

ANGLES

☼ ANGLES : The union of two rays having the same initial point and not lying in one line is called an angle.

Consider two rays $\overrightarrow{OA}$

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Jul

Lines and angles

☼ Undefined Terms : In geometry there are four undefined terms, namely a point, a line, a plane and a space.

But there is a certain relation in above four words given as below :

Point

Posted in: Lines and angles,

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Jul

Index of Rational Expression

1. Degree and Coefficient

2. Rational Expression

Posted in: Index of Rational Expression,

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Jul

Examples

(1) What should be added to 3x² – 5x + 9 to get x² – 2x – 3 ?

Soln. Let, 3x² – 5x + 9 + p(x) = x² – 2x – 3

$\therefore$

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Jul

Results on Rational Expressions

☼ Results on Rational Expressions :

(i) Sum ( or difference or product ) of two rational expressions is a rational expression.

(ii) Rational expressions satisfies commutative, associative and distributive laws.

(iii) 0 …

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Jul

Rational Expression

☼ Rational Expression : An expression of the form $\frac{p(x)}{q(x)}$ , where p(x) and q(x) are a polynomials and q(x)

Posted in: Rational Expression,

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Jul

Rational Expression

☼ Degree and Coefficient : The highest index of the given polynomial is called the degree of the polynomial and the coefficient of highest index term is called the coefficient of the given polynomial.

e.g….

Posted in: Rational Expression,

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Jul

Index

1. Methods to solve Quadratic Equation

2. Types of roots of a Quadratic Equation

Posted in: Index of Quadratic Equation,

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Jul

Examples 11 and 12

(11) Find the set of values of k for which 2x² + 20x + k can be factorized into real linear factors.

Soln. 2x² + 20x + k will be factorizable only when D $\... </p> <div class=$

Posted in: Examples 11 and 12,

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