(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
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 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 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
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)
65'th ദേശീയ ചലച്ചിത്രപുരസ്കാരങ്ങള്.
പ്രമുഖ സംവിധായകന് ശേഖര് കപൂറിന്റെ അധ്യക്ഷതയിലുള്ള സമിതിയാണ് വിധി നിര്ണയിച്ചത്.
ദാദാസാഹെബ് ഫാല്ക്കെ പുരസ്കാരം - വിനോദ് ഖന്ന .
മികച്ച സിനിമ - വില്ലേജ് റോക്ക് സ്റ്റാര്സ് .
മികച്ച സംവിധായകന് - ജയരാജ്(ഭയാനകം) .
മികച്ച നടി - ശ്രീദേവി(മോം) .
മികച്ച നടന് - റിഥി സെന് (നഗര് കീര്ത്തന്) .
മികച്ച സംഗീത സം...
Bengal’s Sorrow – Damodar River.
Blue Mountains – Nilgiri Hills.
China’s Sorrow – Hwang-Ho.
City of Dreaming Spires – Oxford.
City of Golden Gate – San Francisco.
City of Magnificient Distances – Washington.
City of Palaces – Calcutta.
City of Seven Hills – Rome.
City of Sky Scrapers – New York.
Cockpit of Europe – Belgium.
Dark Continent – Africa.
Emerald Island – Ireland.
Eternal City – Rome.
Forbidden City – Lhasa (Tibet).
Garden City – Chicago.
Gate of Tears – Strait of Bab-el-Mandeb.
Gateway of India – Mumbai.
Gift of Nile – Egypt.
Granite City – Aberdeen.
Hermit Kingdom – Korea.
Herring Pond – Atlantic Ocean.
Holy Land – Palestine.
Island Continent – Australia.
Island of Cloves – Zanzibar.
Is...
Problems Type 1: .
A can finish work in X days. .
B can finish work in Y days.
Both can finish in Z days = (X*Y) / (X+Y). .
Problems Type 2: .
Both A and B together can do work in T days.
A can do this work in X days.
then, B can do it in Y days = (X*T) / (X-T) .
Problems Type 3: .
A can finish work in X days.
B can finish work in Y days.
C can finish work in Z days.
Together they can do work in T days = (X*Y*Z)/ [(X*Y)+(Y*Z)+(X*Z)] .
Problems Type 4: .
A can finish work in X days.
B can finish work in Y days.
A*X = B*Y.
...