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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Countries and Other names

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വിശേഷണങ്ങൾ രാജ്യങ്ങൾ .
ആകാശത്തിലെ നാട് ലസോത്തോ .
ആന്റിലസിന്റെ മുത്ത് ക്യൂബ .
ആഫ്രിക്കയുടെ നിലച്ച ഹൃദയം ചാഡ് .
ആഫ്രിക്കയുടെ വിജാഗിരി കാമറൂൺ .
ആയിരം തടാകങ്ങളുടെ നാട് ഫിൻലൻഡ്‌ .
ആയിരം ദ്വീപുകളുടെ നാട് ഇൻഡോനേഷ്യ .
ഇടിമിന്നലിന്റെ നാട് ഭൂട്ടാൻ .
ഇന്ത്യൻ മഹാസമുദ്രത്തിലെ മുത്ത് ശ്രീലങ്ക .
ഉദയസൂര്യന്റെ നാട് ജപ്പാൻ .
ഏഷ്യയുടെ കവാടം ഫിലി�...

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Major events in Indian independence

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1757: Battle of Plassey.
1857: First War of Independence.
1858: India comes under the direct rule of the British crown.
1885: The Indian National Congress was formed in Bombay.
1905: The Partition of the Bengal.
1909: Minto – Morley Reforms.
1911: Bengal Partition annulled.
1914-1918: Britain drags India into World War I.
1915: Gandhi returns to India from South Africa.
1916: Lucknow Pact.
1917: Champaran and Kheda Satyagraha.
1919: Jallianwala Bagh Massacre.
1921 to 1922: Civil Disobedience Movement.
1922: Chauri – Chaura Incident.
1924: Moplah riots between Hindus and Muslims.
1927: The British government appoints the Simon Commission.
1928: Bardoli Satyagraha.
1930: Salt Satyagraha, First Round Table Conference.
1931: Second Round Table Conference, Gandhi-Irwin pact.
1932: Poona Pact, Third...

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Rulers of Travancore Dynasty (തിരുവിതാംകൂർ രാജവംശത്തിലെ ഭരണാധികാരികൾ)

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Anizham Tirunal Marthanda Varma 1729–1758.
Karthika Thirunal Rama Varma (Dharma Raja) 1758–1798.
Balarama Varma I 1798–1810.
Gowri Lakshmi Bayi 1810–1815 (Queen from 1810–1813 and Regent Queen from 1813–1815).
Gowri Parvati Bayi (Regent) 1815–1829.
Swathi Thirunal Rama Varma II 1813–1846.
Uthradom Thirunal Marthanda Varma II 1846–1860.
Ayilyam Thirunal Rama Varma III 1860–1880.
Visakham Thirunal Rama Varma IV 1880–1885.
Sree Moolam Thirunal Rama Varma V 1885–1924.
Sethu Lakshmi Bayi (Regent) 1924–1931.
Chithira Thirunal Balarama Varma II 1924–1949.
...

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Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )