8/20/2019 2nd PU Maths Nov 2014.pdf http://slidepdf.com/reader/full/2nd-pu-maths-nov-2014pdf 1/4 Time : 31h Hours il P.U.C. MATTIEMATICS roN - 2014 Iil NC 6ET Max. Marks : 100 DISTRICT LEVEL MID-TERM EXAMINATION - 2OI4 Instmctions: The question paper has five parts A B C D and E Answer all the questions. PART.A Answer all the questions: r) 2) 3) 4) Define the equivalence relation R on a set. Find the principal value of cos-r (-112). Define scalar matrix. rre{r olnna p4 r,_,l If 51og a* find dy/dx. r Evalute J (rin^- 1 +l)dx. If (x):12 and g(x) I r -* find gof. If A:[t 2l Show that (Ar)t L3U m 5{iog x find dy/dx. Evaluate f dx J x\d\ 10x1=10 10 x2= 20 5) 6) 7) 8; e) 10) Answer any ten questions: PART B : i 11) Let L be the set of all lines in a planB . R be the relation in L defined as R:{ (Lr Lz) : L1 is perpendicular to L2 ).Show that R symmetric neither reflexive nor t2) 13) transitive. Show that Sin-l x+ cos-l x:nly write the simplest form of tan ,[@ 0 <x < n [-v t+cos1J P.T.O. For More Question Papers Visit - www.pediawikiblog.com For More Question Papers Visit - www.pediawikiblog.com