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

a^1/2 = 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)

b = √(c²-a²)

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65th National Film Awards

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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) .
മികച്ച സംഗീത സം...

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Geographical Nicknames

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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.
Granite City – Aberdeen.
Hermit Kingdom – Korea.
Herring Pond – Atlantic Ocean.
Holy Land – Palestine.
Island Continent – Australia.
Island of Cloves – Zanzibar.
Is...

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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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Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )