Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ ) Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )


Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )



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Important Maths Formulas


(a ± b)2 = a2 ± 2ab + b2

(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

(a + b + c + d)2 = a2 + b2 + c2 + d2 + 2(ab + ac + ad + bc + bd + cd)

a2×a1 = a3

a2÷a1 = a1

(a2)1 = a2

a-2 / a2 = 1

(ab)2 = a2xb2 =ab4

a0 = 1

a1/2 = 2√a.

(√a)2 = a


Geometry formulas


Perimeter ( ചുറ്റളവ് )


Perimeter of a square: P=4a

    a: length of one side


Perimeter of a rectangle: P=2(l+w)

    l: length

    w: width


Perimeter of a triangle: P=a+b+c

    a, b, and c: lengths of the 3 sides


Area ( വിസ്തീര്‍ണ്ണം )


Area of a square: A=a2

    a: length of one side


Area of a rectangle: A=wl

    l: length

    w: width


Area of a triangle: A=(b × h)/2

    b: length of the base

    h: length of the height


Area of a trapezoid: A=(b1 + b2) × h/2

    b1 and b2: parallel sides or the bases

    h: length of the height


volume ( വ്യാപ്‌തി )


Volume of a cube: V=a3

    a: length of one side


Volume of a box: v=l × w × h

    l: length

    w: width

    h: height


Volume of a sphere: v=(4/3) × π × r3

    π: 3.14

    r: radius of sphere


Volume of a cylinder: V=πr2h

    π: 3.14

    r: radius of the circle of the base

    h: height of the cylinder


Pythagoras's theorem


The Pythagorean theorem is also known as Pythagoras's theorem. if c denotes the length of the hypotenuse and a and b denote the lengths of the other two sides, the Pythagorean theorem can be expressed as the Pythagorean equation:

        a2+b2=c2

If the length of both a and b are known, then c can be calculated as

    c = √(a2+b2)

If the length of the hypotenuse c and of one side (a or b) are known, then the length of the other side can be calculated as

    a = √(c2-b2)

    or

    b = √(c2-a2)

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65'th ദേശീയ ചലച്ചിത്രപുരസ്‌കാരങ്ങള്‍.


പ്രമുഖ സംവിധായകന്‍ ശേഖര്‍ കപൂറിന്റെ അധ്യക്ഷതയിലുള്ള സമിതിയാണ് വിധി നിര്‍ണയിച്ചത്.
ദാദാസാഹെബ് ഫാല്‍ക്കെ പുരസ്‌കാരം - വിനോദ് ഖന്ന .
മികച്ച സിനിമ - വില്ലേജ് റോക്ക് സ്റ്റാര്‍സ്  .
മികച്ച സംവിധായകന്‍ - ജയരാജ്(ഭയാനകം) .
മികച്ച നടി - ശ്രീദേവി(മോം) .
മികച്ച നടന്‍ - റിഥി സെന്‍ (നഗര്‍ കീര്‍ത്തന്‍) .
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Bengal’s Sorrow – Damodar River.
Blue Mountains – Nilgiri Hills.
China’s Sorrow – Hwang-Ho.
City of Dreaming Spires – Oxford.
City of Golden Gate – San Francisco.
City of Magnificient Distances – Washington.
City of Palaces – Calcutta.
City of Seven Hills – Rome.
City of Sky Scrapers – New York.
Cockpit of Europe – Belgium.
Dark Continent – Africa.
Emerald Island – Ireland.
Eternal City – Rome.
Forbidden City – Lhasa (Tibet).
Garden City – Chicago.
Gate of Tears – Strait of Bab-el-Mandeb.
Gateway of India – Mumbai.
Gift of Nile – Egypt.
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Island Continent – Australia.
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Time and Work Problems - Shortcut Tricks and Formulas

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Problems Type 1: .

A can finish work in X days. .

B can finish work in Y days.


Both can finish in Z days = (X*Y) / (X+Y). .


Problems Type 2: .

Both A and B together can do work in T days.

A can do this work in X days.


then, B can do it in Y days = (X*T) / (X-T) .


Problems Type 3: .

A can finish work in X days.

B can finish work in Y days.

C can finish work in Z days.


Together they can do work in T days = (X*Y*Z)/ [(X*Y)+(Y*Z)+(X*Z)] .


Problems Type 4: .

A can finish work in X days.

B can finish work in Y days.


A*X = B*Y.

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