If `R_i={x in R: 1 leq x leq 1+1/i}` then `nn_(i=1)^5 R_i=`

If f: x: -1 leq x leq 1 -> {x : -1 leq x leq 1} , then which is/are bijective

A_1 A_2 A_3............A_n is a polygon whose all sides are not equal, and angles too are not all equal. theta_1 is theangle between bar(A_i A_j +1) and bar(A_(i+1) A_(i +2)),1 leq i leq n-2.theta_(n-1) is the angle between bar(A_(n-1) A_n) and bar(A_n A_1), while theta_n, is the angle between bar(A_n A_1) and bar(A_1 A_2) then cos(sum_(i=1)^n theta_i) is equal to-

Let f (x ) = | 3 - | 2- | x- 1 |||, AA x in R be not differentiable at x _ 1 , x _ 2 , x _ 3, ….x_ n , then sum _ (i= 1 ) ^( n ) x _ i^2 equal to :

If f(x)=sgn(x-2) xx [In x], 1leq x leq 3 and {x^2} ,-3 lt x leq 3.5 where [.] denotes the greatest integer function and {.} represents the fractional part functon, then the number of points of discontinuity in [1,3.5] is

The sum sum_(i=1)^(50)(r) is :-

For x in R, x ne -1 , if (1 + x)^(2016) = sum_(i = 0)^(2016) a_(i)x^(i) , then a_(17) is equal to :

In the given circuit if I_(1) and I_(2) be the current in resistance R_(1) and R_(2) respectively then:

Let f(x)=min{x-[x|,-[-x)],-2lt=xlt=2,g(x)=|2-|x-2||,-2lt=xlt=2 and h(x)=(|sinx|)/sinx,-2 leq x leq2 and x != 0 be three given functions where [x] denotes the greatest integer leq x Then The number of solution(s) of the equation x^2+(f(x^))^2=1(-1 leq x leq 1) is/are

Let n be a positive integer, such that (1 + x + x^2)^n=a_0 +a_1x+ a_2 x^2+a_3 x^3+......a_(2n) x^(2n), Answer the following question: The value of a when (0 leq r leq n) is (A) a_(2n-r) (B) a_(n-r) (C) a_(2n) (D) n. a_(2n-1)