# Dpp (3-4)_12th_Maths_2015_E

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PAGE#1 MATHEMATICS  Daily Practice Problems Target JEE 2016  Class:XII Time:20Min.  Dpp (3-4)_12th_Maths_2015_E  M.M.: 32 Dpp.No.-3 SPECIALDPP QuestionextractedfromONLINEJEE-MAINPAPER-2,2014 Q.1 The sum of the first 20 terms common between the series 3 + 7 + 11 + 15 + ……. and1 + 6 +11 + 16 + ……., is(1) 4200 (2) 4000 (3) 4020 (4) 4220Q.2 The set of all real values of    for which exactlytwo common tangents can be drawn to the circlesx 2 + y 2  – 4x – 4y+ 6 = 0 and x 2 + y 2  – 10x – 10y+   = 0 is the interval(1) (18, 48) (2) (12, 32) (3) (18, 42) (4) (12, 24)Q.3 If    4x4x k 2x)2k (x)2x(tan Lim 222x    =5,thenkisequalto(1) 2 (2) 1 (3) 3 (4) 0Q.4 If 2cos  +sin  =1        2,then7cos  +6sin  isequalto(1)546(2) 2 (3)21(4)211Q.5 Thebaseofanequilateraltriangleisalongthelinegivenby3x+4y=9.Ifavertexofthetriangleis(1,2),thenthelengthofasideofthetriangleis(1)532(2)534(3)1532(4)1534Q.6 Thecoefficientofx 50 inthebinomialexpansionof (1 + x) 1000 + x (1 + x) 999 + x 2 (1 + x) 998 + ……. + x 1000 is(1))!951()!50( )!1001((2))!950()!50( )!1000((3))!950()!51( )!1001((4))!951()!49( )!1000(Q.7 If   and   are roots ofthe equationx 2  –4  2  kx +2e 4 l  n k   – 1=0 forsomek and  2 +  2 = 66,then  3 +  3 is equal to(1) 280  2  (2) 248  2  (3) – 32  2  (4) – 280  2 Q.8 Inageometricprogression,iftheratioofthesumoffirst5termstothesumoftheirreciprocalsis49,andthesumofthefirstandthethirdtermis35.Thenthefirsttermofthisgeometricprogressionis(1) 42 (2) 21 (3) 7 (4) 28  PAGE#2 MATHEMATICS  Daily Practice Problems Target JEE 2016  Class:XII Time:20Min. Discussion Date: 20-21/04/2015 M.M.: 40 Dpp.No.-4 SPECIALDPP QuestionextractedfromONLINEJEE-MAINPAPER-3,2014 Q.1 Let G be the geometric mean of two positive numbers a and b, and M be the arithmetic mean of a1and b1.If M1: Gis 4: 5,then a: b canbe(1) 2: 3 (2) 1: 4 (3) 1: 2 (4) 3: 4Q.2 If f(  )=1sin1cos1sin1cos1   andAandBarerespectivelythemaximumandtheminimumvaluesoff(  ),then(A,B)isequalto(1) (2 +  2  , – 1) (2) (2 +  2  , 2 –   2  ) (3) (3, – 1) (4) (4, 2 –   2  )Q.3 IfalineinterceptedbetweenthecoordinateaxesistrisectedatapointA(4,3),whichisnearertox-axis,thenitsequationis(1) 3x + 8y= 36 (2) x + 3y= 13 (3) 4x – 3y= 7 (4) 3x + 2y= 18Q.4 If1+x 4 +x 5 =    50iii  )x1(a  ,forallxinR,thena 2 is(1) – 4 (2) – 8 (3) 6 (4) 10Q.5 If  222222222 )c() b()a( )c() b()a( c ba    = k   111c bac ba  222 ,   0, then k is equal to(1) – 4   abc (2) 4  2 (3) – 4  2 (4) 4  abcQ.6 Theleastpositiveintegernsuchthat1–  100132.3232 1n2     ,is(1) 4 (2) 6 (3) 5 (4) 7Q.7 If  55 3x2        is expanded in the ascendingpowers of x and the coefficients of powers of x in twoconsecutivetermsoftheexpansionareequal,thenthesetermsare(1) 28 th and 29 th (2) 27 th and 28 th (3) 7 th and 8 th (4) 8 th and 9 th Q.8 Forthe twocircle x 2 +y 2 = 16and x 2 +y 2  – 2y=0, thereis/are(1)twopairsofcommontangents (2)onepairofcommontangents(3)nocommontangent (4)threecommontangentsQ.9 Thesum oftheroots oftheequation x 2 +|2x–3|–4=0,is(1) 2 (2) – 2 (3) –   2  (4)  2 Q.10 8-digitnumbersareformedusingthedigits1,1,2,2,2,3,4,4.Thenumberofsuchnumbersinwhichtheodddigitsdonotoccupyoddplaces,is(1) 120 (2) 48 (3) 160 (4) 60

Sep 22, 2019

#### 01 Siksnelyte Stjepcevic TIBE 2017

Sep 22, 2019
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