If number of distinct tangents from `A(3,3), B(7/2-4),C(5,6) and D(3,8)` to the curve `y+sqrt((x-2)(4-x))=4` are `n_1,n_2,n_3 and n_4` respectively. Find the value of `n_1+n_2+n_3+n_4.`

If the number of solutions of sin^-1 x+|x|=1 cos^-1 x+|x|=1, tan^-1 x+|x|=1, cot^-1x+|x|=1, sec^-1 x+|x|=1 and cosec^-1 x+|x|=1 are n_1,n_2,n_3,n_4,n_5,n_6 respectively, then the value of n_1+n_2+n_3+n_4+n_5+n_6 is

Consider the set A= {3, 4, 5} and the number of null relations, identity relation, universal relations,reflexive relation on A are respectively n_1,n_2,n_3,n_4 ,Then the value of n_1+n_2+n_3+n_4 is equal to

Let n_1 le n_2< n_3 < n_4< n_5 be positive integers such that n_1+n_2+n_3+n_4+n_5=20. then the number of such distinct arrangements n_1, n_2, n_3, n_4, n_5 is

Let n_1ltn_2ltn_3ltn_4ltn_5 be positive integers such that n_1+n_2+n_3+n_4+n_5="20. then the number of distinct arrangements n_1, n_2, n_3, n_4, n_5 is

Let n_1ltn_2ltn_3ltn_4ltn_5 be positive integers such that n_1+n_2+n_3+n_4+n_5="20. then the number of distinct arrangements n_1, n_2, n_3, n_4, n_5 is

Let n_1ltn_2ltn_3ltn_4ltn_5 be positive integers such that n_1+n_2+n_3+n_4+n_5="20. then the number of distinct arrangements n_1, n_2, n_3, n_4, n_5 is

Let n_(1)

If the sum of n terms of an A.P.is 2n^(2)+5n then its nth term is 4n-3 b.3n-4 c.4n3 d.3n+4

If the sum of n term of the series (5)/(1.2.3) + (6)/(2.3.4) + ( 7)/(3.4.5)+"…." is a/2 - (n+b)/((n+1)(n+2)) , then