Let `a_n = ubrace(111 ... 1)_("n times"),` then

Let e be the eccentricity of a hyperbola and f(e ) be the eccentricity of its conjugate hyperbola then int_(1)^(3)ubrace(fff...f(e))_("n times") de is equal to

Let e be the eccentricity of a hyperbola and f(e ) be the eccentricity of its conjugate hyperbola then int_(1)^(3)ubrace(fff...f(e))_("n times") de is equal to

Let a_n=10^n/(n!) for nge1 Then a_n takes the greatest value when :

Let a_1,a_2,a_3 …. a_n be in A.P. If 1/(a_1a_n)+1/(a_2a_(n-1)) +… + 1/(a_n a_1) = k/(a_1 + a_n) (1/a_1 + 1/a_2 + …. 1/a_n) , then k is equal to :

Let a_1,a_2,a_3 …. a_n be in A.P. If 1/(a_1a_n)+1/(a_2a_(n-1)) +… + 1/(a_n a_1) = k/(a_1 + a_n) (1/a_1 + 1/a_2 + …. 1/a_n) , then k is equal to :

Let a_n , n ge 1 , be an arithmetic progression with first term 2 and common difference 4. Let M_n be the average of the first n terms. Then the sum_(n=1)^10 M_n is