Upload
others
View
20
Download
0
Embed Size (px)
Citation preview
CLASS10BOARDSMATHSSOLUTIONS
YEAR2018
DownloadDoubtnutToday
QuesNo. Question
1
CLASS10BOARDSMATHSSOLUTIONS-2018
Given if thenfind
WatchFreeVideoSolutiononDoubtnut
2
CLASS10BOARDSMATHSSOLUTIONS-2018
Whatisthevalueof
?
WatchFreeVideoSolutiononDoubtnut
3
CLASS10BOARDSMATHSSOLUTIONS-2018
FindthedistanceofpointP(x,y)fromtheorigin
WatchFreeVideoSolutiononDoubtnut
△ ABC~ △ P QR =AB
PQ
13
ar △ ABC
ar △ P QR
(cos2 67 ∘ − sin2 23 ∘
)
4
CLASS10BOARDSMATHSSOLUTIONS-2018
Ifx=3isonerootofthequadraticequation ,thenfindthevalueofk
WatchFreeVideoSolutiononDoubtnut
5
CLASS10BOARDSMATHSSOLUTIONS-2018
WhatistheHCFofthesmallestprimenumberandthesmallestcompositenumber?
WatchFreeVideoSolutiononDoubtnut
6
CLASS10BOARDSMATHSSOLUTIONS-2018
InanA.P., if thecommondifference(d)=-4andtheseventhterm is4thenfindthefirstterm
WatchFreeVideoSolutiononDoubtnut
7
CLASS10BOARDSMATHSSOLUTIONS-2018
An integer ischosenat randombetween1and100.Find theprobability that it is (i)divisibleby8(ii)notdivisibleby8
WatchFreeVideoSolutiononDoubtnut
CLASS10BOARDSMATHSSOLUTIONS-2018
x2 − 2kx − 6 = 0
(a7)
8Twodifferentdicearetossedtogether.Findtheprobability(i)ofgettingadoublet(ii)ofgettingasumof10,ofthenumbersontwodice
WatchFreeVideoSolutiononDoubtnut
9
CLASS10BOARDSMATHSSOLUTIONS-2018
Find the ratio in which (4,m) divides the line segment joining A(2,3) and B(6,-3).Hencefindm
WatchFreeVideoSolutiononDoubtnut
10
CLASS10BOARDSMATHSSOLUTIONS-2018
Giventhat isairrationalprovethat isanirrationalnumber
WatchFreeVideoSolutiononDoubtnut
11
CLASS10BOARDSMATHSSOLUTIONS-2018
InFig.1.ABCDisarectangle.Findthevaluesofxandy
WatchFreeVideoSolutiononDoubtnut
12
CLASS10BOARDSMATHSSOLUTIONS-2018
Findthesumoffirst8multiplesof3
WatchFreeVideoSolutiononDoubtnut
√2 (5 + 3√2)
13
CLASS10BOARDSMATHSSOLUTIONS-2018
While boarding an aeroplane, a passenger got hurt. The pilot showing promptnessandconcern,madearrangementstohospitalisethe injuredandsotheplanestartedlate30minutestoreachthedestination,1500kmawayintime,thepilotincreasedthespeedby100km/hr.Findtheoriginalspeed/houroftheplane.
WatchFreeVideoSolutiononDoubtnut
14
CLASS10BOARDSMATHSSOLUTIONS-2018
Provethattheareaofequilateraltriangledescribedonthesideofasquareishalftheareaoftheequilateraltriangledescribedonitsdiagonal.
WatchFreeVideoSolutiononDoubtnut
15
CLASS10BOARDSMATHSSOLUTIONS-2018
Iftheareasoftwosimilartrianglesareequal,provethattheyarecongruent.
WatchFreeVideoSolutiononDoubtnut
16
CLASS10BOARDSMATHSSOLUTIONS-2018
Prove that the length of the tangents drawn from an external point to a circle areequal.
WatchFreeVideoSolutiononDoubtnut
17
CLASS10BOARDSMATHSSOLUTIONS-2018
Awoodenarticlewasmadebyscoopingoutahemispherefromeachendofasolidcylinder.Iftheheightofthecylinderis10cm,anditsbaseisofradius3.5cm,findthetotalsurfaceareaofthearticle.
WatchFreeVideoSolutiononDoubtnut
CLASS10BOARDSMATHSSOLUTIONS-2018
18Aheapofriceisintheformofaconeofbasediameter24mandheight3.5m.Findthevolumeoftherice.Howmuchcanvasclothisrequiredtojustcovertheheap
WatchFreeVideoSolutiononDoubtnut
19
CLASS10BOARDSMATHSSOLUTIONS-2018
The table below shows Salary of persons. Calculate the median salary of thedata.
WatchFreeVideoSolutiononDoubtnut
20
CLASS10BOARDSMATHSSOLUTIONS-2018
If evaluate
WatchFreeVideoSolutiononDoubtnut
21
CLASS10BOARDSMATHSSOLUTIONS-2018
If
where isanacuteangle,findthevalueof
WatchFreeVideoSolutiononDoubtnut
22
CLASS10BOARDSMATHSSOLUTIONS-2018
Findtheareaof theshadedregion inFig.3,wherearcsdrawnwithcentresA,B,CandDintersectinpairsatmid-pointsP,Q,RandSofthesidesAB,BC,CDandDArespectivelyofasquareABCDofside12cm.[Use ]
WatchFreeVideoSolutiononDoubtnut
280
4 tan θ = 34 sin θ − cos θ + 14 sin θ + cos θ − 1
tan 2A
= cot(A − 180),2A A.
π = 3.14
23
CLASS10BOARDSMATHSSOLUTIONS-2018
Of
aretheverticesfaparallelogram,findthevaluesof
WatchFreeVideoSolutiononDoubtnut
24
CLASS10BOARDSMATHSSOLUTIONS-2018
If
aretheverticesofaquadrilateral,findtheareaofthequadrilateralABCD.
WatchFreeVideoSolutiononDoubtnut
25
CLASS10BOARDSMATHSSOLUTIONS-2018
FindHCFandLCMof404and96andverifythat productofthetwogivennumbers
WatchFreeVideoSolutiononDoubtnut
26
CLASS10BOARDSMATHSSOLUTIONS-2018
Findallzeroesofthepolynomial
iftwoofitszeroesare and
A( − 2, − 1),
B(a, 0),
C(4, b)andD(1, 2)aandb.
A(5, \ 7),
\ B( − 4, \ − 5),
\ C( − 1, \ − 6)\
and\ D(4, \ 5)
HCF × LCM =
2x4 − 9x3 + 5x2
+ 3x − 1
2 + √3 2 − √3
WatchFreeVideoSolutiononDoubtnut
27
CLASS10BOARDSMATHSSOLUTIONS-2018
ThesumoffourconsecutivenumbersinA.P.is32andtheratiooftheproductofthefirstandlasttermtotheproductoftwomiddletermsis7:15.Findthenumber
WatchFreeVideoSolutiononDoubtnut
28
CLASS10BOARDSMATHSSOLUTIONS-2018
In an equilateral triangle ABC, D is a point on side BC such that .
Provethat .
WatchFreeVideoSolutiononDoubtnut
29
CLASS10BOARDSMATHSSOLUTIONS-2018
(Pythagoras's Theorem) Prove by vector method that in a right angled triangle, thesquareofthehypotenuseisequaltothesumofthesquaresoftheothertwosides.
WatchFreeVideoSolutiononDoubtnut
30
CLASS10BOARDSMATHSSOLUTIONS-2018
Amotorboatwhosespeed is18km/hmstillwater takes1hourmore togo24kmupstreamthantoreturndownstreamtothesamespot.Findthespeedofthestream.
WatchFreeVideoSolutiononDoubtnut
31
CLASS10BOARDSMATHSSOLUTIONS-2018
Atrain travelsatacertainaveragespeed foradistanceof63kmand then travelsadistanceof72kmatanaveragespeedof6 km/hrmore than itsoriginal speed. If ittakes3hourstocompletethetotaljourney,whatisitsoriginalaveragespeed?
BD = BC13
9AD2 = 7AB2
WatchFreeVideoSolutiononDoubtnut
32
CLASS10BOARDSMATHSSOLUTIONS-2018
Asobservedfromthetopofa100mhighlighthousefromthesealevel,theanglesofdepressionoftwoshipsare and Ifoneshipisexactlybehindtheotheroneonthesamesideofthelighthouse,findthedistancebetweenthetwoships.
WatchFreeVideoSolutiononDoubtnut
33
CLASS10BOARDSMATHSSOLUTIONS-2018
Abucketopenatthetop,andmadeupofametalsheetisintheformofafrustumofacone. The depth of the bucket is 24 cm and the diameters of its upper and lowercircularendsare30cmand10cmrespectively.FindthecostofmetalsheetusedinitattherateofRs10per .
WatchFreeVideoSolutiononDoubtnut
34
CLASS10BOARDSMATHSSOLUTIONS-2018
Themeanofthefollowingdistributionis18.FindthefrequencyfoftheclassClass11-13,13-15,15-17,17-19,19-21,21-23,23-25 frequency3,6,9,13,f,5,4
WatchFreeVideoSolutiononDoubtnut
35
CLASS10BOARDSMATHSSOLUTIONS-2018
The followingdistributiongives thedaily incomeof workersofa factory:Convertthedistributionabovetoa lessthantypecumulativefrequencydistributionanddrawitsogive
WatchFreeVideoSolutiononDoubtnut
30 ∘ 45 ∘
100cm2
19 − 21/n
50
36
CLASS10BOARDSMATHSSOLUTIONS-2018
Provethefollowingidentity,wheretheanglesinvolvedareacuteanglesforwhichtheexpressionsaredefined.(vii)
WatchFreeVideoSolutiononDoubtnut
DownloadDoubtnuttoAskAnyMathQuestionByjustaclick
GetAVideoSolutionForFreeinSeconds
DoubtnutHasMoreThan1LakhVideoSolutions
Free Video Solutions of NCERT, RD Sharma, RS Aggarwal, Cengage(G.Tewani), Resonance DPP, Allen, Bansal, FIITJEE, Akash, Narayana,VidyaMandir
DownloadDoubtnutToday
= tan θ
sin θ − 2 sin3 θ
2cos3 θ − cos θ