Math Is Fun Forum

gourish

Member

Registered: 2013-05-28

Posts: 153

the complex plane- my tragedy

if z=2+ia y=b+i2 x=0 are vertices of an equilateral triangle such that a, b are
real numbers such that a, b ∈(0,1) then which of the following is true?

1.)a=b=4+2sqrt(3)
2.)a=2, b=sqrt(3)
3.)a=sqrt(3),b=2
4.)a=b=-1+sqrt(2)

i found that a=b=4+2sqrt(3) or 4-2sqrt(3) but due to the condition a,b ∈(0,1) i choose  4-2sqrt(3) but it's not even in the options the answer sheet says that the right answer is 4.)
why is it so?can anybody please help me out on this one

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"The man was just too bored so he invented maths for fun"
-some wise guy

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: the complex plane- my tragedy

hi gourish

I'm getting the same result as you.

I wonder if there's a typo with the question, because 3 answers can be rejected without calculation, just using a, b in (0,1).

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

gourish

Member

Registered: 2013-05-28

Posts: 153

Re: the complex plane- my tragedy

thanks good to know that....

---

"The man was just too bored so he invented maths for fun"
-some wise guy

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: the complex plane- my tragedy

Hi

Did you follow what Nehushtan said about the integration question?

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

gourish

Member

Registered: 2013-05-28

Posts: 153

Re: the complex plane- my tragedy

no, i did not know can you send me the link?

---

"The man was just too bored so he invented maths for fun"
-some wise guy

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: the complex plane- my tragedy

http://www.mathisfunforum.com/viewtopic … 53#p304753

Your post 19 up to his post 25

bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob