ࡱ> 5@ "bjbj22 _XXdddddddx8Dx:*p,,," :::::::$;R=N(:d(:dd,,=:`"`"`"Fd,d,:`":`"`"#6dd8, iy<7>9S:0:76M>B M>,8xxddddM>d8T"5`"Ma(:(:xxdJ"xxGuess Paper - 2008 Class - X Subject - Mathematics Time:3hrs Max.Marks:80 General Instructions All questions compulsory The question paper consist of thirty questions divided in to 4 sections A,B,C and D. Section A comprises of ten questions of 1 marks each ,Section B comprises of five questions of 2 marks each, Section C comprises of ten questions of 3 marks each and section D comprises of five questions of 6 marks each All questions in section A are to be answered in one word , one sentence or as per the exact requirement of the question there is no overall choice .However internal choice has been provided in one question of 2 marks each ,three question of three marks each and two questions of 6 marks each .You have to attempt only one of the alternatives in all such questions. In question on construction ,drawings should be neat and exactly as per the given measurements Use of calculators is not permitted .However you may ask for mathematical tables  SECTION A  EMBED Equation.3  is a composite number because If H.C.F.(26,91)=13, find the L.C.M.(26,91). Find the value of k if  EMBED Equation.3  has equal roots Express  EMBED Equation.3  in terms of trigonometric ratios of angles between 00 and 450 How many terms of the AP  EMBED Equation.3  will give the sum zero. If each side of an equilateral triangle is 2a units, what is the length of its altitude? In the given figure DE is parallel to BC and  EMBED Equation.3 determine  EMBED Equation.3  A circle is inscribed in  EMBED Equation.3  having sides AB = 8 Cm ,BC = 10 Cm , and AC= 12 Cm as shown in the figure find AD , BE and CF One letter is selected at random from the word UNNECESSARY. Find the probability of selecting an E If the mean of n observations  EMBED Equation.3 is  EMBED Equation.3  then find  EMBED Equation.3  SECTION B Find the value of k for which the system of equations has infinite number of solutions   EMBED Equation.3  Without using trigonometric table find the value of  EMBED Equation.3  Determine the ratio in which the point  EMBED Equation.3  divides the join of  EMBED Equation.3  and  EMBED Equation.3  also find the value of a In the figure ,AB parallel to DE and BD parallel to EF , is  EMBED Equation.3  justify your answer In a single throw of two dice , find the probability of getting i) Two heads ii) At least one heads SECTION C Find the HCF of 426 and 576 using Euclids division algorithm OR Prove that no number of the type  EMBED Equation.3  be perfect square m and n are zeros of  EMBED Equation.3  . Find the values a and c if  EMBED Equation.3  Draw the graph of  EMBED Equation.3  and  EMBED Equation.3  and show that there is a unique solution .Calculate the area bounded by these lines and x-axis A polygon has 10 sides .The lengths of the sides starting with the smallest form an AP .If the perimeter of the polygon is 420 Cm and the length of the longest side is twice that of the shortest side .Find the first term and the common difference of the AP Prove that  EMBED Equation.3 OR Prove that  EMBED Equation.3  , Using the identity  EMBED Equation.3  Observe the graph and state whether the quadrilateral ABCD is a parallelogram .Justify your answer .  Find the area of the triangle formed by joining the mid points of the sides of the sides of triangle whose vertices are  EMBED Equation.3  Draw a triangle ABC with side  EMBED Equation.3  ,  EMBED Equation.3  then construct a triangle whose sides are  EMBED Equation.3  times the corresponding sides of  EMBED Equation.3  Prove that the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle A regular hexagon is circumscribed by a circle of radius 14 Cm .Find the area of the shaded region .OR A square ABCD is inscribed in a circle of radius 10 units .Find the area of the circle , not included in the square (use  EMBED Equation.3 ) SECTION D A train covers a distance of 90 Km at uniform speed .Had the speed been 15 Km /hr more . it would have taken 30 minutes less for the journey find the original speed of the train OR A party of tourists booked a room in a hotel for Rs 1200 , three of the members failed to pay as a result others had to pay Rs 20 more (each) . How many tourists were there in the party The angle of elevation of a jet plane from a point A on the ground is  EMBED Equation.3  .After a flight of 15 seconds , the angle of elevation changes to  EMBED Equation.3  .If the jet plane is flying at a constant height of  EMBED Equation.3  , find the speed of the jet plane OR From a building 60m heigh the angle of depression of the top and bottom of lamp post are  EMBED Equation.3  and  EMBED Equation.3  respectively .Find the distance between lamp post and building ,also find the difference of height between building and lamp post Prove that in a right triangle , the square of the hypotenuse is equal to the sum of the squares of the other two sides Using the above solve the following L and M are the mid points of AB and BC respectively of  EMBED Equation.3 , right angled at B prove that  EMBED Equation.3  A building is in the form of a cylinder surmounted by a hemispherical vaulted dome ,the building contains 17.7 m3 of air and its internal diameter is equal to the height of the cylindrical part find the height of the building (use  EMBED Equation.3 ) Find the median of the following data Class interval110-119120-129130-139140-149150-159160-169170-179Frequency525406040255 All NCERT EXAMPLE IMPORTANT FOR BOARD POINT OF VIEW IMPORTANT QUESTION FOR NCERT EX 8 PAGE 284 PAGE 270 Q3 SURFACE AREA ALL THREE EXAMPLE +2 AND 5 QUESTION 13.3 Q8 Q9 Q4 Q5 247 EX 7 PAGE 238 Q16 PAGE 236 9 Q15 Q10 Q7 Q4Q6Q2 238 Q3 Q2 PAGE 214 Q8 Q9Q12 HEIGHT AND DISTANCE Q4,7,11,13,15,16 EX 6 EX 5 192 EX 15 FOR MORE QUESTION LOG ON  HYPERLINK "http://cbsehelp.sampasite.com/" http://cbsehelp.sampasite.com or email  HYPERLINK "mailto:pushpender86@gmail.com" pushpender86@gmail.com A Complete prep ration for board examination BY PUSHPENDER SINGH CHAUHAN 9358425998 9456203101  HYPERLINK "http://www.cbseguess.com/" http://www.cbseguess.com/ -------------------------------------------------------------------------------------------------------------------  HYPERLINK "http://www.cbseguess.com" www.cbseguess.com Other Educational Portals  HYPERLINK "www.icseguess.com" www.icseguess.com |  HYPERLINK "www.ignouguess.com" www.ignouguess.com |  HYPERLINK "www.dulife.com" www.dulife.com |  HYPERLINK "http://www.magicsense.com" www.magicsense.com  23Ui ˸˦k_WC4*h" B*CJphjh" B*CJUph'jh" B*CJUmHnHphuh" B*phh" B*CJ\ph+jh" B*CJUmHnHphtH u h$h" B*CJ\aJph&h$h" 5>*B*CJ\aJph#h$h" 5B*CJ\aJph%hh5B*CJOJQJ\aJph+hp.h" 5B*CJOJQJ\aJphhp.h" B*CJaJphhp.hZB*CJaJph3Uk 2 ' 7 d  K thdh^h & Fdh & Fdhdh$dha$ "  7 c v w | }    / 0 ¾±xg[[G&jcJ h" B*CJPJUVphh" B*CJH*ph jsh" B*CJEHUph&jbJ h" B*CJPJUVph jh" B*CJEHUph&jbJ h" B*CJPJUVphh" 5B*CJ\phh" h" B*CJphjh" B*CJUph jh" B*CJEHUph&jaJ h" B*CJPJUVph0 1 2 K    ()<=>?־֙t`OCh" 5B*CJph j h" B*CJEHUph&jzfJ h" B*CJPJUVph'jh" B*CJUmHnHphu j h" B*CJEHUph&jdeJ h" B*CJPJUVph jh" B*CJEHUph&jeJ h" B*CJPJUVphh" h" B*CJphjh" B*CJUph jh" B*CJEHUph ~/HRQZ\8:hdh^h $hdh^ha$ & Fdh*+>?@ADEXYZ[fgz{|}~пui\H'jh" B*CJUmHnHphuh" 5B*CJ\phh" 5B*CJph j h" B*CJEHUph&jiJ h" B*CJPJUVph j2h" B*CJEHUph&jhJ h" B*CJPJUVph jh" B*CJEHUph*jhJ h" B*CJPJUVaJphjh" B*CJUphh" B*CJph01DEFGop®‰xdS jh" B*CJEHUph&jkJ h" B*CJPJUVph j{h" B*CJEHUph&jkJ h" B*CJPJUVph jh" B*CJEHUph&jVkJ h" B*CJPJUVphh" B*CJphjh" B*CJUph jh" B*CJEHUph&j.jJ h" B*CJPJUVph$%89:;'(;<=>QRWXfgz¶œƒ¶o^QQh" 5B*CJ\ph j"h" B*CJEHUph&j%oJ h" B*CJPJUVphh" B*ph j h" B*CJEHUph2j;J h" B*CJPJUVaJnH phtH h" 5B*CJphh" B*CJphjh" B*CJUph jh" B*CJEHUph&jkJ h" B*CJPJUVphz{|}ĺĺĺĺtcĺĺO> j9+h" B*CJEHUph&jJ h" B*CJPJUVph j*)h" B*CJEHUph&jJ h" B*CJPJUVph j'h" B*CJEHUph&jJ h" B*CJPJUVphh" 5B*CJ\phh" B*CJphjh" B*CJUph j$h" B*CJEHUph6j2J h" B*CJPJUV_HLaJnH phtH ST\]hi|}~89粡p\K jb2h" B*CJEHUph&jyJ h" B*CJPJUVph j/h" B*CJEHUph&jPJ h" B*CJPJUVphh" 5B*CJph jU-h" B*CJEHUph&jJ h" B*CJPJUVph'jh" B*CJUmHnHphuh" 5B*CJ\phh" B*CJphjh" B*CJUphEFYZ[\~®‰xdS j;h" B*CJEHUph&jJ h" B*CJPJUVph j8h" B*CJEHUph&jyJ h" B*CJPJUVph j6h" B*CJEHUph&jRJ h" B*CJPJUVphh" B*CJphjh" B*CJUph j4h" B*CJEHUph&jJ h" B*CJPJUVph}!56IJ¶¢}¶iXD&j!J h" B*CJPJUVph j@h" B*CJEHUph&jH!J h" B*CJPJUVph'jh" B*CJUmHnHphu j>h" B*CJEHUph&jeJ h" B*CJPJUVphh" 5B*CJphh" B*CJphjh" B*CJUph j<h" B*CJEHUph&jJ h" B*CJPJUVph!"Ip!08@HPX`h $dh$Ifa$ & Fdh $hdh^ha$hdh^hJKL-./056IJKL±֥֑l[G&j*J h" B*CJPJUVph j{Hh" B*CJEHUph&j"J h" B*CJPJUVph jFh" B*CJEHUph&j"J h" B*CJPJUVphh" 5B*CJph jDh" B*CJEHUph&j!J h" B*CJPJUVphh" B*CJphjh" B*CJUph jBh" B*CJEHUphhi'(89A±֥֓rlb^Vlblblblblblh" mH sH h" h" CJmH sH  h" CJh" CJPJmH nH sH tH  jeNh" B*CJEHUph"jN=J h" B*CJUVphh" B*CJH*ph j>Lh" B*CJEHUph&j*J h" B*CJPJUVphh" B*CJphjh" B*CJUph jQJh" B*CJEHUph!hikdP$$Iflִ'3 @<8"p& e8888 t0I#6    44 laisux{~ $dh$Ifa$kdsQ$$Iflִ'3 @<8"p& e8888 t0I#6    44 la(9BOXelpvwy z $a$dhhdh^hABNOWXdeklopuw ' ( 3 4 _ ` v w x z !!!~/jP^h- h Q5B*CJ UaJ phf h- h Q5B*CJ aJ phf)jh- h Q5B*CJ UaJ phfh QjdRh QUh" B*CJphh" 56CJ\]h" 0JCJjh" CJU h" CJh" CJmH sH /z !!"!#!$!"""" $h]ha$gdy&Rkd^$$IfTlk0%64 lalT $$Ifa$gd" dh$h]ha$ !! 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