ECAT 2013 MATH

Note:Please write the answer in comment box.It will help us a lot in finding answer of these questions. 1) (1+cosx)/sinx+sinx/(1+cosx) equal to a) 2/sinx b) tan2x c) sec2x d) None 2) The Function y=3x-x2 for x≧ 0 has a maximum value at a) 1,2 b) 2,1 c) 3,4 d) 2,2 3) How many arrangments of the letters of FASTING can be made? a) 5040 b) 2045 c) 2520 d) None 4) n2!/(n-1)!(n-2)! a) n b) n2 c) n3-n2 d) None 5) log9y+log3y= 3 a) 9 b) 27 c) 3 d) None 6) 3 ∫ 2 (x3+2x2+1)dx a) 15 b) 25 c) 35 d) None 7) the coefficient of x in the expansion of ( 1 - 2x )n is -8 then the coefficient of x2 will be a) 24 b) 24x2 c) 48 d) 48x2 8) 9x2+kx+36=(3x+n)2 value of k-n? a) b) c) d) 9) A line X=Y+2 intersects at Y2=XY-1...coordinates of points of intersection are: a) (0.5,2.5) b) (2,0.5) c) (2.5,0.5) d) (2,1) 10) Find Solution Of Equations 2x-y-4,2x2-4xy-y2 a) b) c) d) 11) ∏ /2 x ∫ (siny+2)dy ? a) 0 b) 1 c) ∏ +1 d) None 12) if x=sin Θ then find cos Θ a) ∓ √ 1-x2 b) ∓ √ 1+x2 c) ∓ √ 1+x d) None 13) esin(5-2x) difrentiation a) -2cos esin(5-2x) b) 2cos esin(5-2x) c) 2cosec esin(5-2x) d) 2sec esin(5-2x) 14) Expand upto 2 terms (2.02)4 binomial theorem through a) 16.44 b) 0.644 c) 6.44 d) None