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 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

7 lf If log (x y m 2n and log (x4 y n 2m, then log X is equal to (A) (B) m-n (c) men (D) m n

If y=x^(n-1)ln x then x^(2)y_(2)+(3-2n)xy_(1) is equal to -(n-1)^(2)y(b)(n-1)^(2)y-n^(2)y(d)n^(2)y

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 t a n A t a n B t a n C b. 0 c. 1 d. none of these

If (x+y)^(m+n)=x^my^n then dy/dx= (A) x/y (B) -y/x (C) -x/y (D) y/x

If 2^(n+4)-2^(n+2)=3, then n is equal to a.0 b.2c.-2d.-1

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)

If y=ax^(n+1)+bx^(-n), then x^(2)(d^(2)y)/(dx^(2)) is equal to n(n-1)y(b)n(n+1)yny(d)n^(2)y