mathematics objective questions part 16

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  • 8/18/2019 Mathematics Objective Questions Part 16

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    CSI :(I )-10

    08

    I ol II

    MATHEMATICS

    t

    l . Consi

    derthe

    foJJowing stat

    cmCnts

    :

    I.

    for

    nn

    y

    nanora

    l

    number

    n

    (I

    e

    n u

    'N)

    ,

    let

    1

     

    ---

     

    r e R ~ s

    Then

    Ut. = R.

    : .

    For poS:Ill\ 

    1. rent

    number

    r, lei I,

    ::c ''llluc of

    3.

    rhH + r .  [

    xv

    r?

    a. 27

    b. Jb

    t

    45

    d. ;i4

    A"

     ·

    I

    • J •

    (f

    x y ~ llon - - \ y-

    l + cosO'-tsmll 8.

    equ

    al

    ttrl

    a.

    b.

    r.

    3

    :S 't'4cos0

    3

    5-4cose

    .

    11

    s iJ

    >

    depcndcnL

    or

    0

    A

    n•

    . b

    CQnsider the following four nu>

    UQci'S wl

    >cte il

    is

    n t.

    ube

    rooc of unil)

    1• Prmclpal brrtncb o.ri

    '

    2.

    , . ) ) ~

    3.

    ltl

    ...

    ltll

    4.

    '"'

    J .

    ·r=

    How

    mauy 1he

    nbove are

    real

    ntu

    u

    bcr.l

    /

    9.

    -

    a.

    One

    b. Two

    C:t T11ree

    II).

    tl. Four

    AnN b

    C o n s i d ~ r U e pol) nomial s + 2:< + 3 O\'Cr

    UUCgcrs. lf rt, 1 DI: rooiS of

    +

    3 : 1 ,

    then what is the va

    luo

    of '' +   t ·

    u_ 9

    b.

    -1

    r. -G

    u.

    - 9

    Ans. d

    JJ

    the S

  • 8/18/2019 Mathematics Objective Questions Part 16

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    n.

    12..

    J3

    .

    14.

    IS.

    a. 'fJ

    h . 131

    c.

    " · 1

    Atu. e

    Wntcb one "rtt

    .. t

  • 8/18/2019 Mathematics Objective Questions Part 16

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    19. Lill

    T· R'

    4

    R'

    be defined

    by

    T(x, y, z  

    =

    ( '

    y , H ,

    (I)

    an

    d S:R' ~

    R'

    be defined by S(ic

    y) = (::X.

    Jy), be

    lmcar

    r a n s t b r n t o l

    o n ~ on

    th" r < ~ ~

    vc=r

    spaces

    R'

    and r

    ettivel}

    Then

    whtch

    """

    l h ~

    r

    .. ~ w " l t s c o r r

    " · T t1d S

    utc both

    ~ u l

    b. T

    11

    nd S ore both non-su,gul•r

    c. T

    t

    sin ular

    nd

    S ts n

    m-:ttngulo

    r

    d. ; s .1mgular nd T t o n ~ m g u J a r 25.

    A n c.

    Z ,

    C onstda- lbc trnnsformano:n T·R'

    -> f(

    1

    ;JVCilby

    Till.y, z.

    u) (x. y,

    0,O)"V

    (.

  • 8/18/2019 Mathematics Objective Questions Part 16

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    0

    .

    31.

    32.

    J3.

    d. Fbf

    Ans. c

    I f H. 4) J:l

    I Oc

    end of • fotuJ ehmd

    of

    tba

    [t;lrnbnln

    =   l y c lh1m whal., lheothererul?

    "· ~ I

    h , (- 1, l o

    1

    )

    •.

    (-J. - 1

    4)

    d. H. 41 J4.

    i.\J111. h

    Wbol1h lhc mh

    o bct\Vem

    be Y  'mhnillll'< 11f

    ~ '

    po

    iOI on ellrp

      sa

    11

    1

    y · =I 11nd

    n•

    .. - b:z

    c:oiTesponllt

    ng

    pomt on

      u i h a r y

    arcle1

    a

    ·

    b

    b

    JS

    .

    b'

    d.

    b'

    Anl . h

    Matc l I tst-1 wtth L1s

    i-

    JI ~ n d

    ~ < l e a

    the correct

    'lll' Wer u.ing

    the

    of >< for whtell the ang

    le

    hetweeJ>

    the V t o l l , l ~ i

    = _

      3

    j -

    ~

    ...

    .

    '

    b= 22

  • 8/18/2019 Mathematics Objective Questions Part 16

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    39.

    .j(),

    -11.

    d. C 1$ the T

    c.

    2

    J i

    {l

    -

    j - kj

    ' '

    · 2J illlne

    i'·(3i

    +2j

    - k  :4 ?

    p,

    ~

    b.

    -•( - J )

    . f 4 i

    •(

    Jh

    )

    d.

    • ( ~ )

    Alu.

    d

    rrn ..

    the _

    .

    , or

    •• •

    ..such,

    11m,

    , e(H·•,

    P••tJve, thm wh•t tR 0

    "" lllllio

    " ·

    (- >. 0)

    w

    ( I

    dO)

    b. r-.n>

    J [t

    .«>l

    C.

    (( ,

    D)

    d. t-«>, I)

    An

     '

      a

    If

    /  :<

    . .

    .n

    >dd p

  • 8/18/2019 Mathematics Objective Questions Part 16

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    49 

    50.

    5J .

    5

    '

    ·

    h .  

    s

  • 8/18/2019 Mathematics Objective Questions Part 16

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    Let

    c o i l l K ~ _SI CX li

    inx:f{K)

    s ~ : < . A O X

    1

    : K . C - x J ~

    e " ' " ' f ( ~ ) - o

    Then whnU

    JS 1\.'

  • 8/18/2019 Mathematics Objective Questions Part 16

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    67. What ora s•nornl

    ll ld stngufor

    aal

    unons,

    '' '1' '

    '•1¥

    of

    the t t r < r e n t ~ a l eqoalmn (xp -

    y

    = p '- 1?

    (c

    e'

    H ,

    x

    1

    b.

    (ex.

    - yf c'-1 1<

    1

    I y I

    c.   y f = ~

    I

    d.

    (x

    - cy) '=l- c

    1

    . x'

    :i:

    v

    1

    = I

    AIL

    .

    c

    Gil. m

    =

    l ~ ~ a JnOble root Uld m • - I '' anolb'+4h = 0

    h• ~ 30 l) y

    =II 73.

    c. co'-

    J.D' ...

    - >Y - n

    ''· (o'-Jrr-

    -t

    »

    o

    f\n < c

    t

    -

    -. .

    ••

    and Y1

     =

    1 w}l re m and n are

    o o ~ : o r

    ~ r • he two 0 l u n n n ~ of n - e ~ r m d

    nrder

    >

    o1Terent1al

    lutonn

    nl -

    2

    - y

    o s h ~ '

    1

    dx

    An

    s. t1

    Ihe t i f u l ~ or two force$ P and Q • ~ u n g &t a

    po

    int

    . .

    i\.

    If th

    e

    iOrco

    Q

    ls

    rt.-p

    l

    •ccd

    by

    2Q

    _

    75

    .

    the e s ~ t l t a n t t s F

    1

    \ 1hilt i• I

    F

    - F

    1

    1

    n.

    I3Q

    ~

    IP

    + QI

    "

    IQ; PI

    d.

    I

    QI

    An

    s.

  • 8/18/2019 Mathematics Objective Questions Part 16

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    76.

    79.

    d. /I.Joroe fmastutode P m the EilSt

    dJT..,tlon

    80.

    An

  • 8/18/2019 Mathematics Objective Questions Part 16

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    An

    s.c

    8-l..

    Forces

    of

    2

    ~

    and 3 uro1s

    ~ C l

    a lona lhe

    s1de:< M9

    .

    Aij, llC und FA, r¢speeuvely ~ f a n eqUtlll

  • 8/18/2019 Mathematics Objective Questions Part 16

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    9

    •. 3

    d. 4

    All$. u

    U .;

    =

    k

    nnd

    C ;

    -

    j+k

    are arven v e < i i O

    lh

    on

    0 Ve.JUitrpbconon 111 both N

    ftnd l; E N I$ IVJl'ICoem.s. occur tn

    CODJUgp

    tc paus.

    u

    . n

    .

    Lot

    0 -

    s,

    be

    the pcrmut•IJon grQup nn lh