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
World Heritage Sites in India

Open

The UNESCO , a specialised agency of the United Nations, has a list of sites, such as forest, mountain, lake, desert, monument, across the world which UNESCO considers is in the interest of international community to preserve each sites. These are the places of natural or cultural heritage. India with its rich biodiversity and great wildlife heritage has these natural World Heritage Sites. As of 2018, India has 36 heritage sites, the sixth most of any country.

firstResponsiveAdvt Name of Heritage sites Year Place .
Ajanta Caves 1983 Maharashtra .
Ellora Caves 1983 Maharashtra .
Agra Fort 1983 Uttar Pradesh .
Taj Mahal 1983 Uttar Pradesh .
Sun Temple 1984 Orissa .
Mahabalipuram Monuments 1984 Tamil Nadu .
Kaziranga National Park 1985 Assam .
Keoladeo National Park 1985...

Open

Most Commonly Used Banking Terms.

Open

Bank Rate : It is the rate of interest charged by a central bank to commercial banks on the advances and the loans it extends.
Bouncing of a cheque : When an account has insufficient funds the cheque is not payable and is returned by the bank for a reason "Exceeds arrangement" or "funds insufficient".
CRR (Cash Reverse Ratio) :   The amount of funds that a bank keep with the RBI. If the percentage of CRR increases then the amount with the bank comes down.
Cheque : It is written by an individual to transfer amount between two accounts of the same bank or a different bank and the money is withdrawn from the account.
Core Banking Solutions (CBS) : In this, all the branches of the bank are connected together and the customer can access his/her funds or transactions from any other branch.
Debit Card : This is a card issued by the bank so the customers can withdraw their money from their account electronically.
Demat Account :...

Open

Acids

Open

അമ്ലങ്ങൾ ആസിഡുകൾ ജലത്തിലലിയുമ്പോൾ 7.0-ൽ താഴെ പി.എച്ച്. മൂല്യം പ്രദാനം ചെയ്യുന്ന സംയുക്തങ്ങളാണ് അമ്ലം. HA എന്ന പൊതു രാസവാക്യമാണ് അമ്ലത്തെ സൂചിപ്പിക്കാൻ ഉപയോഗിക്കുന്നത്. ജലത്തിലലിയുമ്പോൾ H+ അയോണുകളെ സ്വതന്ത്രമാക്കുന്ന വസ്തുക്കളാണ്‌ ആസിഡുകൾ. .


അബ്സെസിക് ഹോർമോൺ ആസിഡ് രൂപം കൊള്ളുന്നത് എവിടെയാണ്? : മരങ്ങളുടെയും ചെടികളുടെയും ഇലകളിൽ.
ആദ്യമായ് തിരിച്ചറിഞ്ഞ ആ...

Open