Click to Chat

0120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 550 off
USE CODE: SSPD25


if |z1-z2|<1,|z2-2|<2,|z3-3|<3 then| |z1+z2+z3|



6 years ago

Share

										Dear Sakshi,

Since,|z1|-1|<1
Þ |z1|-|1|<1         {Triangle Inequality}
Þ |z1|<2             ……….(1)
Similarly, |z2-2|<2
Þ |z2|<4             ………(2)
And |z3-3|<3
Þ |z2| <6            ……….(3)
Adding (1), (2), (3), we have
|z1|+|z2|+|z3|<2+4+6
Þ |z1|+|z2|+|z3| <12
Also, |z1+z2+z3| £ |z1|+z2|+|z3|<12
\ |z1+z2+z3| < 12

askIITians.com provides online iit jee courses and IIT JEE Test Series with IITians. Click here to get free online test series and check your status timely or you can join us as our registered user for getting best iit jee study material or iit jee test series.
for further details visit the folowing links:
Askiitians provide you all the best possible information, feel free to ask.
all the best.
thanks and regards.
Akhilesh Shukla

6 years ago

# Other Related Questions on Algebra

find all pairs of positive integers a,b such that a^b-b^a=3

Since RHS is odd, we must have either a is even and b is odd or vice versa. Case I: a is even, b is odd Also if , we must haveclearly, b>a. Hence and hence . (In fact looking modulo 3, a is ...

 2017 years ago
In the listed image can you tell me how beta*gamma = 2 ….. . . .. ??

The value of gamma is still not correct, either printing mistake or you gave me wrong value. The correct value of gamma is below

 Ajay 2 months ago

Thankyou so much............................. …......................................................................!

 Anshuman Mohanty 2 months ago

Yes sorry..... . . . .it is not so clear.. ok the values are beta = α + α^2 + α^4 and gamma = α^3 + α^5 + α^7

 Anshuman Mohanty 2 months ago
what is GIF{greater integer function} [x]?? what is meant by {x}??

There are many integer smaller than a particular number and the integer greatest in those set of smaller integer is called greatest integer and the function which do so is called GIF....

 Suyash Karn one month ago
Find the greatest value of xyz for positive values of x, y, z subject to the condition xy + yz + zx = 12.

0.$Then Using$\bf{A.M\geq G.M}$\\\\ So$\frac{xy+yz+zx}{3}\geq (xyz)^{\frac{2}{3}}\Rightarrow (xyz)\leq 4^{\frac{3}{2}}=8$\\\\and equality hold when$xy=yz=zx.\$"...

 jagdish singh singh 5 months ago

as the val

 hjh 5 months ago
What answer for this sum in differentiate with respect to x

Substitute x= tan(z) in the question then after using identity of cos(2z) u will get the given function as 2∆ I.e. 2*arctan(x) and its differentiation is 2/(1+ x^2)...hope it helps

 rishabh 22 days ago

What answer for this sum in differentiate with respect to x ?????? In complete question.... because you write sum, what is mean of sum.

 Kumar one month ago
View all Questions »

• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: R 15,000
• View Details
Get extra R 3,750 off
USE CODE: SSPD25

Get extra R 550 off
USE CODE: SSPD25

More Questions On Algebra