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Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fi xes everything. Prov
using a pair of compasses a ruler and a pencil. construct a triangle CDE in which DE=10cm, DC+8cm and CDE= 45 degrees. construct CF perpendicular to DE such that F lies on DE using
sin30+cos30=
t=w,w 2 L.H.S (w+w 2 ) + (w 2 + w) 2 ........ 1 + 1 ..... But every third term is of the form: (w 3n +w 3n ) 2 =22 There are nine such terms. Their sum is 36. The rema
Give a Definition of Perimeter and Area? Perimeter is the distance around a flat (2-dimensional) shape. Area is the amount of space taken up by a flat (2-dimensional) shape. is
Brewery has 12 oz bottle filling machines. Amount poured by machine is normal distribution mean 12.39 oz SD 0.04 oz. Company is interested in in reducing the amount of extra beer
find the sum of the following series upto n terms: 1*2+2*4+3*8+4*16+.....
Inverse Cosine : Now see at inverse cosine. Following is the definition for the inverse cosine. y = cos -1 x ⇔ cos y = x for
The expected monetary value method The expected pay off as profit associated with a described combination of act and event is acquired by multiplying the pay off for that act a
There are 6 contestants for the post of chairman secretary and treasurer. These positions can be filled by any of the 6. Find the possible no. of ways whether the 3 positions may b
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