wikimama class 11 ch 10 straight line

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  • 8/4/2019 Wikimama Class 11 Ch 10 Straight Line

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    XSU@KDAS MKNOHiiuckn`so Doifosu{

    Knsuichskin

    Sao fixs |i|m`u hiiuckn`so x{xsof kx sao uohs`ndm`u H`usoxk`n x{xsof. Aouo to

    hinxkcou sao x|`ho si eo sti&ckfonxkin`m. Sauida ` |ikns I- uojouuoc si `x saoiukdkn- to s`go sti fs mm{ |ou|onckhm`u mknox qIq `nc {I{ `nc h`mm saof sao

    q `qkx `nc sao { `qkx uox|ohskzom{. q kx h mmoc sao q&hiiuckn`so iu sao `exhkxx` ij \`nc { kx h`mmoc sao {&hiiuckn`so iu sao iuckn`so ij \.Sao ckxs`nho ij sao iukdkn juif sao hiiuckn`so

    `qox kx roui- sao hiiuckn`sox ij sao iukdkn `uo!

  • 8/4/2019 Wikimama Class 11 Ch 10 Straight Line

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    5

    6

    0 0

    5 5

    8 8

    q { 00

    q { 05

    q { 0

    .

    @uo` ij ` |im{din ij n xkcox

    Jkuxs ij `mm to |mis sao |iknsx `nc xoo saoku `hs`m iucou.Mos @0!q0- {0+- @5!q5- {5+-...- @n!qn- {n+ eo sao zouskhox ij sao |im{din kn `nskhmihgtkxoiucou. Saon `uo` ij sao |im{din

    6 5 50 0 n n

    8 85 5 0 0

    q {q { q {0.....

    q {q { q {5.

    Niso2 Kj sao zouskhox `uo kn sao hmihgtkxo iucou saon s`go ficmx.

    Xohskin jiufm`

    Hiiuckn`sox ij sao |ikns \ ckzkcknd sao bikn ij sti |iknsx @!q0- {0+ `nc E!q5- {5+

    knsoun`mm{ kn sao dkzon u`ski 0 2 5 `uo \ 5 0 0 5 5 0 0 5

    5 0 5 0

    q q { {- .

    Hiiuckn`sox ij sao |ikns \ ckzkcknd sao bikn ij sti |iknsx @!q0- {0+ `nc E!q5-

    {5+ oqsoun`mm{ kn sao u`ski ij 0 2 5 `uo5 0 0 5 5 0 0 5

    5 0 5 0

    q q { {\ - .

    Kj sao |ikns \ ckzkcox sao mkno biknknd @ `nc E knsoun`mm{ kn sao u`ski 0 2 5- ksh`n `mxi eo x`kc sa`s \ ckzkcox sao mkno biknknd @ `nc E oqsoun`mm{ kn sao u`ski

    0 2 5.

    Honsuikc ij ` suk`ndmoSao honsuikc ij ` suk`ndmo kx sao |ikns ij hinhuuonh{ ij ksx fock`nx. Sao honsuikc Dij sao suk`ndmo @EH- ckzkcox sao fock`n @C- kn sao u`ski ij 5 2 0.

    Sao honsuikc ij sao suk`ndmo- sao hiiuckn`sox ijtaixo zouskhox `uo dkzon e{ @!q0- {0+- E!q5- {5+ `ncH!q8- {8+ uox|ohskzom{- kx

    0 5 8 0 5 8q q q { { {-8 8

    .

    !q0- {0+

    !q5- {5+!q8- {8+

    D

    J O

    HE

    @

    C Knhonsuo ij ` suk`ndmo

    Sao knhonsuo K ij ` suk`ndmo kx sao |ikns ij hinhuuonh{ ij sao ekxohsiux ij sao `ndmoxij sao suk`ndmo.Sao knhonsuo ij sao suk`ndmo- sao hiiuckn`sox ijtaixo zouskhox `uo dkzon e{ @!q0- {0+- E!q5- {5+-H!q8- {8+- kx

    0 5 8 0 5 8`q eq hq `{ e{ h{-` e h ` e h

    taouo `- e- h

    `uo sao mondsax ij xkcox EH- H@- @E uox|ohskzom{.

    !q0- {0+

    !q5- {5+ !q8- {8+C

    K

    J O

    HE

    @

    Hkuhf&honsuo ij ` suk`ndmo

  • 8/4/2019 Wikimama Class 11 Ch 10 Straight Line

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    Sakx kx sao |ikns ij hinhuuonh{ ij sao |ou|onckhm`u ekxohsiux ij sao xkcox ij sao

    suk`ndmo. Sakx kx `mxi sao honsuo ij sao hkuhmo- |`xxknd sauida sao zouskhox ij sao dkzon

    suk`ndmo.

    Iusaihonsuo ij ` suk`ndmo

    Sakx kx sao |ikns ij hinhuuonh{ ij sao `mskscox ij sao suk`ndmo.

    Oq&Honsuo ij ` suk`ndmo

    Oqhonsuo ij ` suk`ndmo kx sao |ikns ij

    hinhuuonh{ ij ekxohsiux ij sti oqsoukiu `nc

    sakuc knsoukiu `ndmo. Aonho saouo `uo sauoo

    oqhonsuox K0- K5 `nc K8 i||ixkso si sao sauoo

    zouskhox ij ` suk`ndmo.

    Kj @!q0- {0+- E!q5- {5+ `nc H!q8- {8+ `uo sao

    zouskhox ij ` suk`ndmo @EH-

    hi&iuckn`sox ij honsuo ij oq&hkuhmo i||ixkso

    si zousoq @ `uo dkzon `x

    K0!q- {+ 6

    0 5 8 0 5 8`q eq hq `{ e{ h{-` e h ` e h

    .

    Xkfkm`um{ hi&iuckn`sox ij K5!q - {+ `nc K8!q -

    {+ `uo

    !q0- {0+

    @

    H!q8- {8+!q5- {5+E

    e

    `

    hK5

    K0

    K8

    K5!q- {+ 6 0 5 8 0 5 8`q eq hq `{ e{ h{-` e h ` e h

    -

    K8!q- {+ 60 5 8 0 5 8`q eq hq `{ e{ h{-` e h ` e h

    .

    Mihx

    Taon ` |ikns fizox kn ` |m`no ncou hous`kn doifosukh`m hinckskinx- sao |ikns su`hoxis ` |`sa. Sakx |`sa ij sao fizknd |ikns kx h`mmoc ksx mihx.

    Op`skin ij Mihx

    Sao op`skin si sao mihx kx sao uom`skin takha oqkxsx eostoon sao hiiuckn`sox ij `mm

    sao |iknsx in sao |`sa- `nc takha aimcx jiu ni isaou |iknsx oqho|s saixo m{knd in sao

    |`sa.

    \uihocuo jiu jkncknd sao op`skin ij sao mihx ij ` |ikns

    !k+. Kj to `uo jkncknd sao op`skin ij sao mihx ij ` |ikns \- `xxkdn hiiuckn`sox !a- g+

    si \.

    !kk+ Oq|uoxx sao dkzon hinckskinx `x op`skinx kn soufx ij sao gnitn p`nskskox `nc

    ngnitn |`u`fosoux.

    !kkk+. Omkfkn`so sao |`u`fosoux- xi sa`s sao omkfkn`ns hins`knx inm{ a- g `nc gnitnp`nskskox.

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    !kz+. Uo|m`ho a e{ q- `nc g e{ {- kn sao omkfkn`ns. Sao uoxmsknd op`skin kx sao

    op`skin ij sao mihx ij \.

    Xsu`kdas Mkno

    @n{ op`skin ij jkuxs coduoo ij sao jiuf @q ' E{ ' H 6

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    Niuf`m Jiuf2 q hix ' { xkn 6 |- taouo kx sao`ndmo takha sao |ou|onckhm`u si sao mknof`gox tksa sao `qkx ij q `nc | kx sao mondsa ijsao |ou|onckhm`u juif sao iukdkn si sao mkno. |kx `mt`{x |ixkskzo.

    |

    {

    q

    E

    \

    I@

    Sao op`skin ij sao mkno @E kxq {

    0|xoh |hixoh

    iu q hix ' { xkn 6 |.

    Xmi|o |ikns jiuf

    !`+ Ino |ikns in sao xsu`kdas mkno!e+ Sao du`ckons ij sao xsu`kdas mkno k.o.- sao xmi|o f ij sao mkno

    Op`skin2 { & {0 6 f!q & q0+- taouo !q0- {0+ kx ` |ikns in sao xsu`kdas mkno.

    Sao op`skin ij ` mkno kn sao xmi|o knsouho|s jiuf kx{ 6 fq ' h. Xknho sao |ikns !q0- {0+ mkox in ks-{0 6 fq0 6 h. Xesu`hsknd- to dos

    { {0 6 f !q q0+.

    Sti |ikns jiuf

    Op`skin2 5 00 05 0

    { {{ { q q

    q q

    taouo !q0- {0+ `nc !q5- {5+ `uo sao sti dkzon |iknsx. Aouo5 0

    5 0

    { {f

    q q

    .

    Niso2 Si jkq sao cojknkso |ixkskin ij ` xsu`kdas mkno- sti hinckskinx fxs eo dkzon.Sao donou`m op`skin ij ` mkno k.o. `q ' e{ ' h 6

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    :

    Kj kx sao `ndmo eostoon sti mknox- saon s`n 6 0 5

    0 5

    f f

    0 f f

    taouo f0 `nc f5 `uo sao xmi|ox ij sao sti mknox.

    Kj s`n ! 0 5+ 60 5 0 5

    0 5 0 5

    s`n s`n f f

    0 s`n s`n 0 f f.

    Xknho `ndmo h`n eo `hso iu iesxo- to tukso s`n 6 0 5

    0 5

    f f

    0 f f-

    `nc saoxo z`mox `uo x||mofons`u{ si o`ha isaou. Fixs ijson to `uo knsouoxsoc knsao `hso `ndmo- xi sa`s

    s`n 6 0 5

    0 5

    f f

    0 f f.

    Niso2!k+. Kj sao sti mknox `uo |ou|onckhm`u si

    o`ha isaou saon f0f56

    0.@n{ mkno |ou|onckhm`u si `q ' e{ ' h6 < kx ij sao jiuf eq `{ ' g 6

  • 8/4/2019 Wikimama Class 11 Ch 10 Straight Line

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    !k+

    0 0 0

    5 5 5

    8 8 8

    ` e h

    ` e h