`1+3/2+5/2^2+7/2^3+……..to oo` is equal to (A) 3 (B) 6 (C) 9 (D) 12

If the maximum and minimum values of y=(x^2-3x+c)/(x^2+3x+c) are 7 and 1/7 respectively then the value of c is equal to (A) 3 (B) 4 (C) 5 (D) 6

For a non zero rational numbers a ,\ (a^3)^(-2) is equal to (a) a^6 (b) a^(-6) (c) a^(-9) (d) a^1

1/((2 1/3))+1/((1 3/4)) is equal to (a) 7/(14) (b) (12)/(49) (c) 4 1/(12) (d) None of these

(2^-1+3^-1+5^-1)^0 is equals to: a) 2 b) 3 c)5 d)1

lim_(x->oo)((x^3)/(3x^2-4)-(x^2)/(3x+2)) is equal to (a) does not exist (b) 1//3 (c) 0 (d) 2/9

If x=(7+5sqrt(2))^(1/3) -1/((7+5sqrt(2))^(1/3) , then the value of x^3+3x-14 is equal to 1 (b) 0 (c) 2 (d) 4

Number of ordered pairs (a,b) for which sin^(-1)(1+b+b^2+..oo)+cos^(-1)(a-a^2/3+a^4/9+..oo)=pi/2 is (A) 0 (B) 4 (C) 9 (D) Infinite

Consider three matrices A=[(2,1),(4,1)], B=[(3,4),(2,3)] and C=[(3,-4),(-2,3)]. Then the value of the sum tr(A)+tr((ABC)/2) +tr((A(BC)^2)/4)+tr((A(BC)^3)/8)+.......+oo is (A) 6 (B) 9 (C) 12 (D) none of these

(2/3)^(-5) is equal to (a) ((-2)/3)^5 (b) (3/2)^5 (c) (2^-5)/3 (d) 2/(3^5)

Q. If 2[[x,9],[y,6]]+3[[1,-1],[0,2]]=[[9,15],[12,18]], then the values of (x+y) is (A) 3 (B) 9 (C) -1 (D) -2