[5" prone "],[(a)(1)/(1+n^(a-b)+(1)/(1+x^(b-a)))=1]

Expression ((a+1/b)^(1/x)(a-1/b)^(1/x))/((b+1/a)^(1/x)(b-1/a)^(1/x)) is an integer if

Expression ((a+1/b)^(1/x)*(a-1/b)^(1/x))/((b+1/a)^(1/x)*(b-1/a)^(1/x)) is an integer if

Let n in N such that n gt 1 . Statement-1: int_(oo)^(0) (1)/(1+x^(n))dx=int_(0)^(1) (1)/((1-x^(n))^(1//n))dx Statement-2: int_a^b f(x)dx=int_(a)^(b) f(a+b-x)dx

Show that: (a+(1)/(b))^(m)x(a-(1)/(b))^(n)(b+(1)/(a))^(m)x(b-(1)/(a))^(n)=((a)/(b))^(m+n)

If the total number of relations form set A to set B is 1024, and n(A)gt1, n(B)gt1, then (A) n(A)=2, n(B)=5 (B) n(A)=5, n(B)=2 (C) n(A)=10, n(B)=1 (D) n(A)=1, n(B)=10

If the total number of relations form set A to set B is 1024, and n(A)gt1, n(B)gt1, then (A) n(A)=2, n(B)=5 (B) n(A)=5, n(B)=2 (C) n(A)=10, n(B)=1 (D) n(A)=1, n(B)=10

If the straight line (x)/(h)+(y)/(k)=1 touches the curve (x/a)^(n)+((y)/(b))^(n)=1 , then show that ((a)/(h))^((n)/(n-1))+((b)/(k))^((n)/(n-1))=1