Download Handa Ka Funda - Math Formulas 5.0 PDF

TitleHanda Ka Funda - Math Formulas 5.0
File Size2.9 MB
Total Pages64
Document Text Contents
Page 1

MATH FORMULAS & FUNDAS
For CAT, XAT & Other MBA Entrance

Examinations

Ravi Handa

presents

Version 5.0

[email protected]

Page 2

Preface

Hi,
I run the website www.hanadkafunda.com In the last 8
years, I have taken classes at IMS, TIME and Genesis
Mentors in Kolkata, Jaipur, Surat and Pune.
One of the common questions that I have been asked
over and over again is: “What should be done in the last
few days?” I am a strong believer in the idea nothing
much should be done in the last few days. This time
should be used to calm down your nerves before the
final day. Giving mocks during the last week should
definitely be avoided. Often it ends up doing more harm
than good. However, you should revise the key concepts
during the last few days and that is precisely why I
compiled this eBook.
This eBook contains a list of formulas and concepts
which will help you in revising and preparing for the big
day. I would love to hear what you think of the eBook

Ravi Handa

[email protected] +91-9765142632



I have an online CAT coaching course:

http://handakafunda.com/online-cat-
coaching/

Some of its key features are:

 200+ Videos for clarity in concepts

 200+ Videos with previous year CAT
Solution

 60 Live Classes for doubt clarification

 Entire Quant, LR & DI Syllabus






Date: 5
th

May 2014

[email protected]

http://www.hanadkafunda.com/
mailto:[email protected]
http://handakafunda.com/online-cat-coaching/
http://handakafunda.com/online-cat-coaching/

Page 32

A Median of a triangle is a line segment joining a vertex
to the midpoint of the opposing side. The three medians
intersect in a single point, called the Centroid of the
triangle. Centroid divides the median in the ratio of 2:1

An Altitude of a triangle is a straight line through a
vertex and perpendicular to the opposite side or an
extension of the opposite side. The three altitudes
intersect in a single point, called the Orthocenter of the
triangle.

A Perpendicular Bisector is a line that forms a right
angle with one of the triangle's sides and intersects that
side at its midpoint. The three perpendicular bisectors
intersect in a single point, called the Circumcenter of
the triangle. It is the center of the circumcircle which
passes through all the vertices of the triangle.

An Angle Bisector is a line that divides the angle at one
of the vertices in two equal parts. The three angle
bisectors intersect in a single point, called the Incenter
of the triangle. It is the center of the incircle which
touches all sides of a triangle.



Funda: Centroid and Incenter will always lie inside the
triangle.

- For an acute angled triangle, the Circumcenter and
the Orthocenter will lie inside the triangle.

- For an obtuse angled triangle, the Circumcenter and
the Orthocenter will lie outside the triangle.

- For a right angled triangle the Circumcenter will lie at
the midpoint of the hypotenuse and the Orthocenter
will lie at the vertex at which the angle is 90°.



Funda: The orthocenter, centroid, and circumcenter
always lie on the same line known as Euler Line.

- The orthocenter is twice as far from the centroid as
the circumcenter is.

- If the triangle is Isosceles then the incenter lies on
the same line.

- If the triangle is equilateral, all four are the same
point.

Continued >>

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Page 33

Theorems



Mid Point Theorem: The line joining the midpoint of any
two sides is parallel to the third side and is half the
length of the third side.



Basic Proportionality Theorem: If DE || BC, then AD/DB
= AE/EC





Apollonius’ Theorem: AB
2
+ AC

2
= 2 (AD

2
+ BD

2
)





Interior Angle Bisector Theorem: AE/ED = BA/BD



Continued >>

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Page 63

Sequence, Series & Progression

Arithmetic Progression
















Funda: Number of terms







Geometric Progression










Sum till infinite terms =



(Valid only when r<1)



Funda: Sum of first n odd numbers



Funda: Sum of first n even numbers


Funda: If you have to consider 3 terms in an AP,
consider {a-d,a,a+d}. If you have to consider 4 terms,
consider {a-3d,a-d,a+d,a+3d}

Funda: If all terms of an AP are multiplied with k or
divided with k, the resultant series will also be an AP
with the common difference dk or d/k respectively.

Funda: Sum of first n natural numbers = n(n+1)/2

Funda: Sum of squares of first n natural numbers =
n(n+1)(2n+1)/6

Funda: Sum of cubes of first n natural numbers =
[n(n+1)/2]

2



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Page 64

Contact Details

Ravi Handa

Phone: +91- 9765142632

Email: [email protected]

I have an online CAT coaching course:

http://handakafunda.com/online-cat-coaching/

Some of its key features are:

 200+ Videos for clarity in concepts

 200+ Videos with previous year CAT Solution

 60 Live Classes for doubt clarification

 Entire Quant, LR & DI Syllabus is covered .
HOME

[email protected]

mailto:[email protected]
http://handakafunda.com/online-cat-coaching/

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