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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First in Kerala Facts

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The below list contains the questions related to Kerala First. 1929 ൽ കേരളത്തിൽ ആദ്യമായ് വൈദ്യുതികരിക്കപ്പെട്ട പട്ടണം? Answer: തിരുവനന്തപുരം. .
1992 ൽ തിരുവന്തപുരത്ത് എ.ടി.എം. ആരംഭിച്ചത് ? Answer: ബ്രിട്ടീഷ് ബാങ്ക് ഓഫ് മിഡിൽ ഈസ്റ്റ്.
3 ജി മൊബൈൽ സേവനം ലഭ്യമായ കേരളത്തിലെ ആദ്യ നഗരം ഏത് ? Answer: കോഴിക്കോട്.
ആദ്യ എ.ടി.എം. ആരംഭിച്ചത് എവിടെയാണ് ? Answer: തിരുവനന്തപുരം.
ആദ്യ ഹോമിയോ മെഡിക്കൽ കോളേജ് ആരംഭിച്ചത് ? Answer: തിരുവന്തപുരം. LI...

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List of famous awards

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Abel Maths .
Arjuna Sports .
Ashok Chakra Civilians .
Avicenna Prize Ethics in Science .
Bharat Ratna Art, Science, Public Service, Sports .
Bhatnagar Science .
Bihari Award Literature .
Bowelay Agriculture .
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Dhanwantri Medical Science .
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Heinz Award Arts & Humanities, Environment,Human Condition,Public Policy,Technology, Economy and Employment .
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Kalinga Science .
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Merlin Magic .
Nobel Prize Peace, Literature, Economics, Physics, Chemistry, Medical Science .
Norman Borlaug Award Field Research & Application ....

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Important laws of physics ( ഭൗതികശാസ്ത്രത്തിലെ പ്രധാന നിയമങ്ങൾ )

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Archimedes\' Principle ( ആർക്കിമെഡീസ് പ്രിൻസിപ്പിൾ ) .

A body that is submerged in a fluid is buoyed up by a force equal in magnitude to the weight of the fluid that is displaced and directed upward along a line through the center of gravity of the displaced fluid.

Avogadro\'s Hypothesis ( അവഗാഡ്രോ സിദ്ധാന്തം ) .

Equal volumes of all gases at the same temperature and pressure contain equal numbers of molecules. It is, in fact, only true for ideal gases.

Bernoulli\'s Equation ( ബെർണോളി സമവാക്യം ) .

In an irrotational fluid, the sum of the static pressure, the weight of the fluid per unit mass times the height, and half the density times the velocity squared is constant throughout the fluid.

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Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )