• We need your support!

    We are currently struggling to cover the operational costs of Xtremepapers, as a result we might have to shut this website down. Please donate if we have helped you and help make a difference in other students' lives!
    Click here to Donate Now (View Announcement)

Mathematics: Post your doubts here!

Messages
24
Reaction score
30
Points
23
Messages
1
Reaction score
1
Points
11
The points A and B have position vectors, relative to the origin O, given by
−−→OA = i+2j+3k and −−→OB = 2i+j+3k.
The line l has vector equation
r = (1−2t)i+ (5+t)j+ (2−t)k.
(i) Show that l does not intersect the line passing through A and B.
(ii) The point P lies on l and is such that angle PAB is equal to 60◦
. Given that the position vector
of P is (1 − 2t)i + (5 + t)j + (2 − t)k, show that 3t
2 + 7t + 2 = 0. Hence find the only possible
position vector of P.

I solved the question but for part (ii) I got t = -2 and t=-1/3. What I don't understand is why do we reject t = -1/3 and use t=-2 to find the position vector of P?
 
Messages
64
Reaction score
126
Points
18
I can't solve 8 (b). Can anyone help me with it. If you are curious then this is from w_13_qp_31. I don't know how to find least value of |z-w|
 

Attachments

  • help.jpg
    help.jpg
    140.8 KB · Views: 16
Messages
1,160
Reaction score
3,858
Points
273
Is there anyone who knows about any good maths book which should contains some difficult questions of complex no. ...just like the questions which are in mayjune 13 papers.??????????
 
Messages
222
Reaction score
166
Points
53
Hi guys.Anyone can help me with the diff of this question.Thanks a lot.....
Its question 8 from oct nov 12(31)
 

Attachments

  • f.png
    f.png
    11.5 KB · Views: 15
Messages
64
Reaction score
126
Points
18
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s08_qp_3.pdf
I have some problems with qn no. 5
In (i), how do I sketch the locus in an argand diagram?
(ii) I just can't solve this question. Please help me understand the working

I'll be grateful for any help provided.
Thanks
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.
 
Top