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IGCSE MATHS Doubts

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Vin:

--- Quote from: saleemsamer on May 07, 2010, 09:51:15 am ---hi guys can some1 post the diagram for oct/nov 09 p4 question 4a
and can sum1 plz explain questions 2a)iv and b)ii (same paper)
thx in advance :)

--- End quote ---

n also b) ii)

theres a great method my teacher taught me...
  (y)      x      U         =       X         
(a  b)     (-1  -4  -4 )        (  -1   -4  -4)
(c  d)     (1     1    3 )  =   (   2     5   7 )

multiply a b c d in matrix y to matrix U (they are the positions of the image, row 1 is x axis  row 2 is y )

( (-a + b) (-4a+b)  (-4a + 7b)  )
( (-c+d )   (-4c +d)  (-4c+ 7d)  )

now solve any two equation my simultaneous method...

so,  -a +b   = -1 (because the position of this equation is corresponding to matrix "X", look for the colours)

      -4a + b = -4

by solving u get a = 1 , b = 0
same for 'c' and 'd' ..u get  d= 1 and c = -1

i dont expect u to understand but this method is really good n its really difficult for me to teach online..:(
read it n try to follow the steps while solving the paper u might get it...:) :)

     

Dark Prince:

--- Quote from: ~VIN1094~ on May 07, 2010, 12:05:54 pm ---a iv)  shear,  factor = 1 , y-axis invariant line

u should know the formula

shear =  distance moved due to shear
            ----------------------------
             perpendicular dist. frm invariant

--- End quote ---

Actually i did this Q da sme waybut in da mark scheme da answer is Scale factor= -1......how is da scle factor -ve

Snake:
- scale factor can either mean inverted picture or smaller then original picture

Vin:

--- Quote from: hotmail16 on May 07, 2010, 01:03:36 pm ---Actually i did this Q da sme waybut in da mark scheme da answer is Scale factor= -1......how is da scle factor -ve

--- End quote ---

oh my bad... the image moves to the left is -ve and to the right is positive.. :)

sorry about that mistake..i'll amend it

Dark Prince:
can u explain it .....y is da scale factoe -ve wen we move da image to left.....nd is this rule same 4 all quadrants? wat abt 3rd quadrant......wat if da image is on x-axis.....nd wat abt stretch( wen is its scale factor -ve).....thnkx.

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