quarterly practice paper

Class: X              QUARTELY EXAMINATION                     SUB: Mathematics                                                                                                                      Section – I I Answer the following 5 questions, choosing atleast 2 from each group. (5x4=20) Group-A   Let A, B are two subsets f a universal set U.  show that A Ç B = A- B' = B –A'. Let f: R- {2} ® R be defined by f(x) = 2x +1/x-2. Show that f(2x+1)/(x-2) Find the sum and the product of the roots of the following equation. 2x2-7x+3= 0   Find the number which is less than its square by 132.                                                            Group-B 5. Given a GP with a= 729 and 7th term is 64. Determine S7. 6. If there are n arithmetic means between a and b find common difference "d." 7. Find the mode when median is 125.6 and mean is 128. 8. If A =                                                       Show that A-1= 4I-A      Section –II II Answer any four questions.                                                (4x2=8)                            9.   State Pythagorus theorem. 10. State onto function. 11. State basic theorem of sets. 12. Define singular matrix. 13. Find the seventeenth term in series if Tn=n (n+3)/(n+2). 14. Write 3x3 identity matrix.                                                                                                                                                                                                                                                                                                    Section –III III Answer any four questions choosing atleast 2 from each group   (4x8=32)  Group-A 15. Show that AÈ(B Ç C) = (AÈB) Ç (A È C) for any three sets A, B, C. 16. Given f(x) = (x-1), g(x) =x2-2   h(x)=x3-3 find (fog)oh and fo(goh). 17. A play field is 100 m by 60m, has a footpath all around it on the outside.  What is the width of the path if its area is 3/5 of the area of the field? 18. Using the remainder theorem find the factors of x4+3x3-7x2-27x-18.   Group-B 19. State and prove basic proportionality theorem.  20. Find sum to n terms of the series 0.5+0.55+0.555+------ 21. The A.M, G.M. and H.M. of two numbers are A, G, H respectively. Show that A ³ G ³H. 22. Solve by Cramer's method: x+5y = 17 and 5x+y = 13.  Section IV   IV Answer any one of the following .   Draw a circum circle of triangle ABC when BC = 6cm, ∟B=55o, ∟C= 70o. Using the graph y=x2, solve x2-x-6=0.     OMEGA EDUCATIONAL ACADEMY 2-2-647/8/6,C.E.Colony, Baghamberpet, Hyderabad. Cell: 9849005091 START DOING SMALLTHINGS,DO DIFFICULT THINGS, SUDDENLY YOU FIND YOURSELF DOING IMPOSSIBLE THINGS

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