જો (a+b)^n ના વિસ્તરણમાં 4થી પદનો ગુણાંક 56 છે, તો n છે | વર્ગ 11 | BINOM...

The value of 'n' for which:^(n-1)C_4 -^(n-1)C_3-5/4 .^(n-2)P_2< 0 , where n in N. (a) (5, 6, 7, 8, 9, 10) (b) ( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10) (c) (0, 2) uu (3, 11) (d) (-oo,2)uu(3,11)

If vec a=2 hat i-3 hat j- hat k\ a n d\ b= hat i+4 hat j-2 hat k ,\ t h e n\ vec axx vec b= a. 10 hat i+2 hat j+11 hat k b. 10 hat i+3 hat j+11 hat k c. 10 hat i-3 hat j+11 hat k d. 10 hat i-2 hat j-10 hat k

2) 2sin (?- ?) 1) 2cos(?-?) 3) 2sin(?-?) 4) 21 sin(? + ? ) 54. If a = cisa,b = ci9B,c= city then 1) cis(3? +3 ? +2 3) cis (-3?-3?+27 55. If x=cisa,y= cis/, z = cisy and x + y + z = 0 then-+-+-= 2 1) I 2) 2 3) 3 4) 0 2 2n 56. If z=cos ? + i sin ? then the value of 22n +1 1 1) i tan n 3) icot no one value of (1+i)! is 2) tan no ,? th 57,

If the vectors 4 hat i+11 hat j+m hat k ,\ 7 hat i+2 hat j+6 hat k\ a n d\ hat i+5 hat j+4 hat k are coplanar then m= 38 b. "\ "10"\ " c. -1 d. -10

{:(A , B , C , D , E , F , G , H , I , J , K , L , M , N , O , P , Q , R ,S , T ,U , V , W ,X , Y , Z), (1 ,2 , 3 , 4 ,5, 6 , 7,8,9,10 , 11 , 12, 13, 14, 15 , 16 , 17 , 18 , 19, 20 , 21 ,22 , 23 , 24 , 25 , 26):} M xx N : 13 xx 14 : : F xx R : ?

Forces of magnitudes 6N and 4N are acting on the body . Which of the following of the following can be the resultant of the two? (a) 11 N (b) 2 N (c) 10 N (d) 1 N (e) 8 N (f) 0 N (g) 7 N

A ,\ B ,\ C are three sets of values of x : A :2,\ 3,\ 7,\ 1,\ 3,\ 2,\ 3, B :7,\ 5,\ 9,\ 12 ,\ 5,\ 3,\ 8 C :4,\ 4,\ 11 ,\ 7,\ 2,\ 3,\ 4 Which one of the following statements is correct? M e a n\ of\ A=\ Mod e\ of\ C M e a n\ of\ C=M e d i a n\ of\ B M e d i a n\ of\ B=Mod e\ of\ A M e a n ,\ M e d i a n\ a n d\ Mod e\ of\ A\ a r e\ e q u a l

If ^nC_4, ^nC_5 and ^nC_6 are in A.P. then the value of n will be (A) 14 (B) 11 (C) 7 (D) 8

Consider two curves C_1: y^2=4[sqrt(y)]x a n dC_2: x^2=4[sqrt(x)]y , where [.] denotes the greatest integer function. Then the area of region enclosed by these two curves within the square formed by the lines x=1,y=1,x=4,y=4 is 8/3s qdotu n i t s (b) (10)/3s qdotu n i t s (11)/3s qdotu n i t s (d) (11)/4s qdotu n i t s