Bijective Fuction

Q. Prove of H.C.F(a, b, c)=a*b*c* L.C.M(a, b, c)/L.C.M(a, b)*L.C.M(b, c)*L.C.M(c, a) and L.C.M(a, b, c)=a*b*c*H.C.F(a, b, c)/H.C.F(a, b)*H.C.F(b, c)*H.C.F(c, a)

Q. ntIf p = (16+83) -(21-123) , then find p -n ntA) 8n ntB) 6n ntC) 5n ntD) 4n

Q. ntProve the determinant a b-c c-bn nt a-c b c-a = (a+b-c)(b+c-a)(c+a-b)n nt a-b b-a c n

Q. ntProve that (a+b){(b+c)(c+a)}=2a(b+c)n ntn nt(a, b, c are with vector sign)n

Q. The following figure depicts which type of function?

1. surjective
2. bijective
3. neither injective nor surjective
4. injective

Q. If 'f' is a bijective function from A to B, then ____

1. n(A) = n(B)
2. n(A) < n(B)
3. n(A) > n(B)
4. None of the above

Q. If f is defined from A to B is bijective, then which of the following is always true?

1. n(A)>n(B)
2. A=B
3. n(A)=n(B)
4. n(A)<n(B)