Mathematics: Post your doubts here!

[salvatore]

5(i)
From what i have learned. for |z-i|=2 draw circle with center at 0,i. z is at o,o and -i means that now center point is 0,i if it was +i then center point would be 0,-i just opposite. Same for real numbers i.e |z-1| would mean starting point is 0,1. Now the 2 is radius. SO |z-i|=2 means draw circle with radius 2 and center 0,i. modulus of imaginary number is a circle.

Thanks a lot
umm.. what about part ii?

 

[Namehere]

Please someone solve Q8b, just how to find the least value for z-w with explanations of why you are doing each step pleasee!

 

[midha.ch]

Try this midha.ch
Obtain A =1
Obtain B = −1, C = 2, D = 0

the first question
and the vectors question I'll help u with it asap

 

[sitooon]

the first question
and the vectors question I'll help u with it asap

Thanks

 

[wohooo]

9709_s08_qp_3.pdf can someone solve Q5 please

 

[periyasamy]

Hi guys,i got a problem here.Need help.A question no 10(b part 2).Thanks a lot.....

 

[sudeep1097]

Thanks a lot
umm.. what about part ii?

9709_s08_qp_3.pdf can someone solve Q5 please

Sorry I was feeling bored to solve part ii that time haha.
OK now,
substituting value of z and simplifying you get. 1 /(2cosθ+2)-2sinθ i
Multiplying by it's conjugate i.e. (2cosθ +2)+2sinθ i and again simplifying we get,
(2cosθ +2+2sinθ i) / 4cos^2θ + 8cosθ + 4 + 4sin^2θ
=numerator/ 8+8cosθ [4cos^2θ + 4sin^2θ = 4]
Now separating the real part only from numerator 2(cosθ +1) / 8(cosθ +1)
Hence real part = 1/4

 

[sudeep1097]

Hi guys,i got a problem here.Need help.A question no 10(b part 2).Thanks a lot.....

Can you give me the values of p,q,alpha and beta?
EDIT: OK I have solved it and I am going to attach the files hope you understand.

 

[midha.ch]

Try this midha.ch
Obtain A =1
Obtain B = −1, C = 2, D = 0

the vectors question

 

[midha.ch]

Part i is okay, I couldn't do part (ii).

See if this helps
https://www.xtremepapers.com/commun...st-your-doubts-here.9599/page-537#post-733327

 

[Rahma Abdelrahman]

See if this helps
https://www.xtremepapers.com/commun...st-your-doubts-here.9599/page-537#post-733327

Right! Thank you so much!

 

[wohooo]

Yes please someone explain this question with explanations for every step. I know how to do the diagram, im just having trouble finding the least value for z-w.

can you show me the diagram? I think we should find least value of |Z|-|W|

 

[sitooon]

can you show me the diagram? I think we should find least value of |Z|-|W|

here it is > https://www.xtremepapers.com/commun...st-your-doubts-here.9599/page-541#post-741715

 

[Igcse giver]

plz solve this thanks.....

 

[sitooon]

plz solve this thanks.....

w = x + iy

x+ i y + 3 (x -iy) = i (x+i y)^2
x+ iy + 3x -3i y = i (x^2 + 2xy i -y^2) = i x^2 -2xy - y^2 i
4x -2iy = i (x^2-y^2) -2xy
4x = -2xy -> y= 4x/(-2x) =-2
x^2 -y^2 = -2y
x^2 -4 =4
x^2= 8
x= sqrt[8] = 2 sqrt[2]
w = 2 sqrt[2] -2i

Thats what i knew

 

[Alaa Alalawi]

Salam
Im stuck in October November 2012 P31/32 Question 6 & 7 A Level Pure Maths, Need some help.

 

[Tee Kay]

hi everyone, i can't seem to solve this right :/

 

[mohammad hurani]

I'd appreciate it ..

 

[boiime]

PLZ PLZ PLZ GUYS can any one help me with the thingy in A2 math p3 iam stuck in Q 2 NOV09 V2 PLZ help iam gonna fail

 

[daredevil]

http://onlineexamhelp.com/wp-content/uploads/2014/02/9709_w13_qp_32.pdf

Q3

somebody please solve it out like all the steps... i did it but i don't get what they want in the ms and i can't get the exact answer on my own... got an answer in decimals but dont even know if thats correct... helpss :')