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Aug

Limit of a Sequence

$\begin{matrix}lim\\n\rightarrow\infty\\\end{mat... </p> <div class=$

Posted in: Limit of a Sequence,

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Aug

Lemma

☼ Lemma :

$\mapsto 0 < \theta < \frac{\pi}{2}$

Posted in: Lemma,

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16

Aug

Infinite Interval
☼ Infinite Interval :–

( a , ∞ ) = { x / x > a, x ∈ R }

Posted in: Infinite Interval,

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16

Aug

Interval
☼ Interval :–

Open Interval :–

Posted in: Interval,

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16

Aug

Functions
☼ Integer Part Function [ x ]     OR   Floor Function ⌊x⌋ :–

f : R → Z,   f (x) = ‘ the greatest integer not greater than x

Posted in: Functions,

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13

Aug

Index of Co–Ordinate Geometry

Introduction

Line

Equation of a line

<...

Posted in: Index of Co–Ordinate Geometry,

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13

Aug

Examples 21 to 23 of Co–Ordinate Geometry

Find the no. of common tangent to x² + y² = 4 and x² + y² – 8y + 12 = 0.

Soln. The centre of the first circle is C₁(0, 0…

Posted in: Examples 21 to 23 of Co–Ordinate Geometry,

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13

Aug

Examples 16 to 20 of Co–Ordinate Geometry

Find the perpendicular distance between two lines 3x + 4y – 2 = 0 and 6x + 8y – 1 = 0.

Soln. Here, both the lines are 6x + 8y – 4 = 0 and 6x + 8y – 1 = 0.

∴ p   =

Posted in: Examples 16 to 20 of Co–Ordinate Geometry,

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