1.

Match List I with the List II and select the correct answer using the code given below the lists : List IList II (A)Let f be a continuous function satisfying f(x)+f(x+4)=f(x+2)+f(x+6) ∀ x∈R (P)−1and 2016∫2008f(x) dx=1. Then the value of 19∫3f(x) dx is(B)If the area bounded by the non-negative continuous function y=f(x), coordinate axes(Q)0and the line x=a, where a∈R+, is equal to asina, then f(π/2) is(C)Let I1=π∫0xf(sin2015x+cos2016x) dx and I2=π/2∫0f(sin2015x+cos2016x) dx. Then(R)1[I1I2] is ([.] denotes the greatest integer function)(D)If the equation 3αx2+3xy+3βy2+2αx+2βy=0 represents a pair of straight lines,(S)2then (α+β) can be(T)3Which of the following is the only CORRECT combination?

Answer»

Match List I with the List II and select the correct answer using the code given below the lists :



List IList II (A)Let f be a continuous function satisfying f(x)+f(x+4)=f(x+2)+f(x+6) xR (P)1and 20162008f(x) dx=1. Then the value of 193f(x) dx is(B)If the area bounded by the non-negative continuous function y=f(x), coordinate axes(Q)0and the line x=a, where aR+, is equal to asina, then f(π/2) is(C)Let I1=π0xf(sin2015x+cos2016x) dx and I2=π/20f(sin2015x+cos2016x) dx. Then(R)1[I1I2] is ([.] denotes the greatest integer function)(D)If the equation 3αx2+3xy+3βy2+2αx+2βy=0 represents a pair of straight lines,(S)2then (α+β) can be(T)3



Which of the following is the only CORRECT combination?



Discussion

No Comment Found