Country names and the meaning

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Best Picture : 'Moonlight' by Adele Romanski, Dede Gardner and Jeremy Kleiner .

Best Actress in a Leading Role : Emma Stone for 'La La Land'.

Best Actor in a Leading Role : Casey Affleck for 'Manchester By The Sea'.

Best Director : Damien Chazelle for 'La La Land'.

Best Adapted Screenplay : Barry Jenkins and Tarell Alvin McCraney for 'Moonlight'.

Best Original Screenplay : Kenneth Lonergan for 'Manchester By The Sea'.

Best Original Song : 'City Of Stars' from 'La La Land' by Justin Hurwitz, Benj Pasek and Justin Paul.

Best Original Score : Justin Hurwitz for 'La La Land'.

Best Cinematography : Linus Sandgren for 'La La Land'.

Best Live Action Short : 'Sing' by Kristof Deak and Anna Udvardy.

Best Documentary Short : 'The White Helmets' by Orlando Von Einsiedel and Joanna Natasegara.
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Important Maths Formulas .

(a ± b) 2 = a 2 ± 2ab + b 2 .


(a + b + c) 2 = a 2 + b 2 + c 2 + 2(ab + bc + ca).


(a + b + c + d) 2 = a 2 + b 2 + c 2 + d 2 + 2(ab + ac + ad + bc + bd + cd) .

a 2 ×a 1 = a 3 .

a 2 ÷a 1 = a 1 .

(a 2 ) 1 = a 2 .

a -2 / a 2 = 1.

(ab) 2 = a 2 xb 2 =ab 4 .

a 0 = 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.

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Important amendments to Indian Constitution (ഇന്ത്യൻ ഭരണഘടനയിലെ പ്രധാന ഭേദഗതികൾ).

Amendment Year Details .
7 1956 Reorganisation of States on linguistic basis and introduction of Union Territories. .
9 1960 Adjustments to Indian territory as per agreement with Pakistan. .
10 1961 Dadra, Nagar, and Haveli included in the Indian Union as a Union Territory. .
12 1961 Goa, Daman, and Diu included in the Indian Union as a Union Territory. .
13 1963 The state of Nagaland formed with special protection under Article 371A. .
14 1962 Pondicherry incorporated into the Indian Union. .
36 1975 Sikim included as an Indian state. .
42 1976 Fundamental Duties prescribed, India became the Socialist Secular Republic. .
44 1978 Right to Property removed from the list of fundamental rights. .
52 1985 Defection to another part...

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