Question

The segment AB is divided into 4 equal parts.C is nearer to A and E is nearer to B.Find the coordinates of A and B ,if the co-ordinates of C, D and E are [5/2,-1/2],(3,0) and [7/2,1/2] respectively.

Answer 1

C, D and E being the points that divide AB into the 4 equal parts, I guess.
Let's say A=(a1,a2) and B=(b1,b2).

If you want to calculate the midpoints of two given points, you have to calculate the mean of the coordinates: e.g. D is the midpoint of CE, so D=((2.5+3.5)/2, (-.5+.5)/2)=(3,0). Right!

The same calculation can be used for A and D: C is midpoint, so the coordinates of C should be:
c1=(a1+3)/2=5/2
c2=(a2+0)/2=0

This gives you A.

Do the same with B!

Answer 2

@singhmmm: Did you get any further with this one?

Answer 3

a1=2 and a2=-1
thus the cordiantes of A =2,-1
is it right @ZeHanz

Answer 4

simiallry,
thus the cordiantes of B=4,-1

Answer 5

oops, coordiantes of B are 4,1

Answer 6

a1=2: OK
a2=-1... I have: (a2+0)/2=0, so a2+0=0, so a2=0

b1=4: OK
b2=-1... I have: (b2+0)/2=1/2, so b2+0=1, so b2=1

Answer 7

Easy to make mistakes with this calculation ;)

Answer 8

but plse see a2, its
(a2+0)/2=-1/2

Answer 9

You're right, easy for me too ;)

Answer 10

but, its okay..
no pblm
thank u so much

Answer 11

yw!