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


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



Click here to view more Kerala PSC Study notes.

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)

Click here to search study notes. Click here to view all Kerala PSC Study notes. Click here to read PSC Question Bank by Category wise. Click here to Test your knowledge by atteneding Quiz.

Logo
Logo
Countries and their meanings

Open

Algeria - Land of Algiers .
Argentina - Silvery Land .
Australia - Southern Land.
Austria - Eastern March.
Bahamas - The Shallows .
Bahrain - The Two Seas.
Belarus - White Russia.
Burkina Faso - Land of Honest Men.
Cameroon - Shrimp River.
Cape Verde - Green Cape .
Colombia - Land of Columbus .
Comoros - Moons.
Costa Rica - Rich Coast.
Dominica - Sunday Island .
Ecuador - Equator .
Eritrea - Land of the Red Sea .
Ethiopia - Land of the Blacks.
Guatemala - Place of Many Trees .
Guyana - Land of Many Waters .
Haiti - mountainous land .
India - Land of the Indus River .
Indonesia - Indian Islands .
Iran - Land of the Aryans .
Japan - Land of the Rising Sun .
Jordan - river Jorda...

Open

Goods and Service Tax (GST)

Open

Goods and Service Tax (GST) launched on 30th June from midnight. GST is the biggest tax reform in India and can be beneficial for the Indian Economy. According to the Govt. of India, the GST must help India to fight against corruption and black money. It is a ‘Good and Simple’ tool through which the people of every sector of India including the poor can get benefited. Goods and Services Tax (GST) is an indirect tax (or consumption tax) used in India on the supply of goods and services. It is a comprehensive, multistage, destination-based tax: comprehensive because it has subsumed almost all the indirect taxes except a few state taxes. .

Multi-staged as it is, the GST is imposed at every step in the production process but is meant to be refunded to all parties in the various stages of production other than the final consumer and as a destination-based tax, it is collected from point of consumption and not point of origin like previous taxes.

...

Open

Major Awards in India

Open

Military Awards .

Param Vir Chakra: Param Vir Chakra is India\'s highest military decoration awarded for the displaying distinguished acts of valour during wartime. The name of the award translates as the "Wheel of the Ultimate Brave".


Mahavir Chakra: The Maha Vir Chakra is the second highest military decoration in India, and is awarded for acts of conspicuous gallantry in the presence of the enemy.


Vir Chakra: Vir Chakra is the third highest military decoration in India, and presented for acts of bravery in the battlefield.


Ashok Chakra: The Ashoka Chakra is India\'s highest peacetime military decoration awarded for valour, courageous action or self-sacrifice away from the battlefield. The decoration may be awarded either to military or civilian personnel. .


Kirti Chakra: The Kirti Chakra is Second in o...

Open