If coefficient of `a^2 b^3 c^4 in(a+b+c)^m` (where `n in N`) is `L(L != 0),` then in same expansion coefficient of `a^4b^4c^1` will be (A) `L` (B) `L/3` (C) `(mL)/4` (D) `L/2`

Find the coefficient of a^(2)b^(3)c^(4)d in the expansion of (a-b-c+d)^(10) .

If a. b, c and d are the coefficients of 2nd, 3rd, 4th and 5th terms respectively in the binomial expansion of (1+x)^n , then prove that a/(a+b) + c/(c+d) = 2b/(b+c)

If a. b, c and d are the coefficients of 2nd, 3rd, 4th and 5th terms respectively in the binomial expansion of (1+x)^n , then prove that a/(a+b) + c/(c+d) = 2b/(b+c)

The volume of 2.89 g of carbon monoxide at 27^(@)C and 0.821 atm pressure is (A) 2.5 L (B) 4 L (C) 3.5 L (D) 3 L

If A N C~= L K M , then side of L K M equal to side A C\ of A B C is (a) L K\ (b) K M (c) L M (d) None of these

The family of lines (l+3m) x + 2(l+m) y= (m-l) , where l!=0 passes through a fixed point having coordinates (A) (2, -1) (B) (0, 1) (C) (1, -1) (D) (2, 3)

8 ml is equal to (a) 0.8 L (b) 0.08 L (c) 0.008 L (d) None of these

In a multi-electron atom, which of the following orbitals described by the three quantum numbers will have the same energy in the absence of magnetic and electric fields ? (A) n=1, l=0 m=0, (B) n=2, l=0, m=0 (c) n=2, l=1, m=1 (d) n=3, l=2, m=1 (e) n=3, l=2, m=0

Let A ={ 1, 2, 3,4, 5}, a*b = L.C.M of a and b is a binary operation on A, explain ?

If the vectors vec a, vec b, vec c are non-coplanar and l,m,n are distinct real numbers, then [( l vec a + m vec b + n vec c) (l vec b + m vec c + n vec a) (l vec c + m vec a + n vec b )] = 0, implies (A) lm+mn+nl = 0 (B) l+m+n = 0 (C) l^2 + m^2 + n^2 = 0