The 49th one MATHEMATICS (PAPER - COOE•. 21
SECTION-II : (INTEGER ANSWER TYPE)
This section contains 08 Questions. The answer to each question is a Single digit integer, ranging
49. tosses 2 fair coins & B tosses 3 fair coins simultaneously. Game is won by the person who throws
greater number of heads. In case ofa tie, the game is continued under identical rules until someone
finally wins the game. The probability that finally wins the game is — ,
then K is
50.
If x 2 —x +1=0 then the value of .v+—
11
1
is equal to
x
X'
Let g : 00) [O, 00) be a function defined as
g (x) = 2 + cos-l a)x2 +2(cos-l —cos-l u for all x e R. If g(x) is surjective map
then —ßl+l+2aß is equal to
The number of solution of sin* .rcos.r+sin2 xcos2 x + sin xcos3 x = I in 10, 2111 is
(log2 .v)2 —4(log2 x)+19 = log 2 (.12+12) ,
The root of the equation
is (where x
