If `y=x^n` then `y_n ` is equal to :
A. n!
B. `1/n!`
C. -n!
D. 0!

(x+y)^(n) + (x-y)^(n) is equal to

if y= x^m then Y n is equal to: (A) frac{m!}{m-n!} x^(m-n) (B) frac{m!}{n-m!} x^(m-n) (C) frac{n!}{m+n!} x^(m+n) (D) frac{n!}{n-m!} x^(m-n)

If A+B+C=180^0 , then (t a n A+t a n B+t a n C)/(t a n A\ t a n B\ t a n C) is equal to a. t a n A t a n B t a n C b. 0 c. 1 d. none of these

If y=x^(n-1)lnx then x^2y_2+(3-2n)x y_1 is equal to (a) -(n-1)^2y (b) (n-1)^2y (c) -n^2y (d) n^2y

If A=[(1,1),(1,0)] and n epsilon N then A^n is equal to (A) 2^(n-1)A (B) 2^nA (C) nA (D) none of these

If A=[(n,0 ,0),( 0,n,0),( 0, 0,n)] and B=[(a_1,a_2,a_3),(b_1,b_2,b_3),(c_1,c_2,c_3)] , then A B is equal to (A) B (B) n B (C) B^n (D) A+B

If A and B are two disjoint sets, then n(AuB) is equal to a. n(A)+n(B) b. n(A)+n(B)-n(AnB) c. n(A)+n(B)+n(AnB) d. n(A)n(B)

If the system of equations (.^(n)C_(3))x+(.^(n)C_(4))y+35z=0, (.^(n)C_(4))x+35y+(.^(n)C_(3))z=0 and 35x+(.^(n)C_(3))y+(.^(n)C_(4))z=0 has a non - trivial solution, then the value of n is equal to (AA n in N, n ge 4)

(lim)_(x->a)(x^n-a^n)/(x-a) is equal to a. n a^n b . n a^(n-1) c. n a d. 1

If y=1+x+(x^2)/(2!)+(x^3)/(3!)+...+(x^n)/(n !),t h e n(dy)/(dx) is equal to (a) y (b) y+(x^n)/(n !) (c) y-(x^n)/(n !) (d) y-1-(x^n)/(n !)