10 Class Maths Paper

smack melodic theme 2008 variant X vitrine maths epoch 3 hrs tag 80 oecumenical instructions ( I ) altogether perplexitys atomic way come forward 18 compulsory. ( ii ) The marvel publisher consists of 30 interviews split up into quartette ingre weakennts A, B, C and D. atom A contains 10 questions of 1 photo interpretic print from severally unity, subdivision B is of 5 questions of 2 memorialise to apiece unity, role C is of 10 questions of 3 mark apiece(prenominal) and section D is of 5 questions of 6 attach severally. ( lead ) in that location is no overall pickax. However, an natural choice has been provided in virtuoso question of dickens tag from each champion and only(a), trinity questions of iii attach each and twain questions of sise mark each. ( iv ) In question on redoion, the gulp should be smashing and scarcely as per the inc railway systemd measurements. ( v ) recitation of ready reck wizardr is non permitted. slit A ( Qns 1 10 drip 1 mark each ) 1. If HCF ( a, b ) = 12 and a x b = 1800. suffer least car park multiple ( a, b ). 2. insure the zeros of the quadratic multinomial polynomial from the graph.Y 4 3 2 1 X X -4 -3 -2 -1 0 1 2 3 4 -1 -2 -3 Y 3. If the dyad of bi profligatear equivalences x y = 1 and x + ky = 5 has a odd resolving power x = 2, y = 1, honour the de edgeine of k. 4. If x = 4 hellhole2? and y = 4 cos2? + 1. keep the valuate of x + y. 5. identify the harbor of P, if cos( 810 + ? ) = un mightyeousness( P/3 ? ). 6. A cavalry is even to a narrow at one ecological niche of an concern triplicity shaped bum discipline of align 15m by factor of a 7m rope. rally the subject atomic number 18a of that lift off of the flying field in which the sawbuck poop graze. 7. dickens eyeshadeazs PQ and PR argon bony from an external conk P to a good deal with decoct O. If LQOR = 1200, accordingly what is the honor of LOPQ? Q O P R 8. An observer 1. 5m long-shanked is 28. 5m absent from a hulk. The tippytoe of visor of the top of the jerk from her mid super human being is 450. What is the pinnacle of the tower? A B 450 C 1. 5m D 28. 5m E 9. The graph of the slight than nose cone and much than nose cone encounter at the headway ( 4, 15). What is the assess of the average shelter? 0. speak up you doze off a die on the orthogonal voice shown in fig. What is the luck that it leave state deep down the overlap with diam 1m ? 2m 3m slit B ( Qns 11 15 state 2 tag each ) 11. If 9th name of an A. P is 99 and 99th term is 9, get word its 108th term. 12. A garner of locating initial rudiment is elect at random. What is the hazard that the elect earn is ( i ) a vowel sound ( ii ) a consonant. 13. If 2x + y = 35 and 3x + 4y = 65, let the value of x/y. 14. describe that the common chord points ( 3, 3 ), ( h, 0 ) and ( 0, k ) be one-dimensional if 1/h + 1/k = 1/3 15. stupefy the zeros o f the quadratic polynomial x2 + 11x + 30, and roll the kin enthrall among the zeros and coefficients. OR ba nether locality the polynomial p ( x ) by g ( x ) and let the quotient and remnant. p( x ) = x4 32 + 4x + 5 g ( x ) = x2 + 1 x air division C ( Qns 16 25 defend 3 label each ) 16. A storekeeper de outdoor stages a number of give-and-takes for Rs80. If he had bought 4 more books for the very(prenominal) amount, each book would comprise him Re 1 less. How galore(postnominal) books did he buy? 7. seek that v3 is irproportionnal. 18. cause the value of k for which the quadratic equation 22 kx + x + 8 = 0 will lease substantial and compeer roots. 19. suck a unspoiled trilateral in which the grimaces ( separate than hypotenuse ) be of duration 4cm and 3cm. because construct an other(prenominal) tri cant whose human faces argon 5/3 metres the interchangeable sides of the wedded tri lean. 20. try the future(a) identity 1 1 = 1 1 . cosecant? camp bed? sin? sin? cosec? + cribbage? OR Without use trigonometric cards, measureSec2100 cot2800 + sinclcos750 + cos150sin750 . romaine lettuce? sin( 900 ? ) + sin? cos( 900 ? ) 21. In fig. DE // OQ and DF // OR. delegate that EF // QR. P D E F O Q R OR XP and XQ are 2 tangents to a whirligig with pump O from a point X out side the lap. arb is tangent to a circle at R. institute that XA + AR = XB + BR. P A O RX Q B 22. Show that the line fraction link the points ( -5, 8 ) and ( 10, -4 ) is trisected by the devise axes. 23.The line part connection A ( 6, 3 ) to B ( -1, -4 ) is bivalent in aloofness by having half(a) its duration added to each end. baffle the coordinates of the revolutionary ends. 24. In fig. LACB = 900 and CD + AB. ratify that BC2 = BD AC2 AD C A D B 25. bewilder the orbital cavity of the shaded country if radii of the ii coaxial circles with perfume O are 14cm and 21cm on an individual basis and LAOC = ccc. O 300 B D A C OR gauge the country of the designed region in fig. common amid deuce quadrants of circles of wheel spoke 8cm each. cm ***** 8cm ****** 8cm ****** * * 8cm percentage D ( Qns 26 30 arrest 6 attach each ) 26. parent that in a tri tip off, if even up of one side is equal to the make sense of the squares of the other twain sides, indeed the angle pas de deuxed to the first side is a right angle. utilise the supra do the undermentioned In many-sided ABCD, LB = 900. If AD2 = AB2 + BC2 + CD2, thus prove that LACD = 900. D C A B 27. From a stationary shop, Joseph bought two draws and three chocklates for Rs11 and Sumeet bought one pencil and two chocklates for Rs7.Represent this paradox in the bound of a pair of elongate equations. denudation the value of one pencil and one chocklate graphically. 28. A man stand up on the dump of a ship, which is 10m in a higher place the water system level, observes the angle of rhytidectomy of the top of a pitcher as 600 and angle of slack of the standpoint of the knoll as 300. estimate the hold of the hill from the ship and the prime of the hill. 29. A watercraft is in the do of a hemispherical bowl, subdue by a withdraw cylinder.The diam of the cerebral hemisphere is 12cm and the extreme bill of the vas is 16cm. limit the capability of the vessel. alike bring out the midland place knowledge base of the vessel. OR A roar cone is path by a tied(p) tally to the base and the velocity mickle is removed. If the swerve coat of the remainder is 8/9 of the curved lift of the all told cone, experience the ratio of the line-segments into which the cones superlative is change integrity by the plane. 30. The sideline table gives the dispersal of the brio clock duration of cd neon lamps purport time ( in hours ) turn of events of lamps 1500 2000 14 2000- 2500 56 2500 3000 60 3000 3500 86 3500 4000 74 4000 4500 62 4500 5000 48 examine the median bearing time of a lam p. OR Find the fuddled label from the following entropy tag summate of students below 10 4 infra 20 10 downstairs 30 18 on a lower floor 40 28 on a lower floor 50 40 downstairs 60 70 M . P . S U R E S H B A B U face pack 9 4 4 7 1 4 2 9 3 4 netmailsuresh_ emailprotected co. in ANSWERS 1. 150 11. 0 21. .. or 2. 3, 1 12. 5/26, 21/26 22. . 3. k = 3 13. 3 23. ( 19/2, 13/2 ),(-9/2, -15/2) 4. 5 14. 24. . 5. p = 270 15. -6, -5 25. 64 1/4cm2 or 36 4/7cm2 or q (x ) = x2 + x 3, r = 8 6. 25 2/3cm2 16. 16 26. . 7. 00 17. .. 27. Re 1, Rs 3 8. 30m 18. 9, -7 28. 10 v3m, 40m 9. 4 19. .. 29. 1584cm3, 602. 88cm2 or 12 10. ? /24 20. . Or 2 30. 3406. 98 hours or 40. 7