Mod(z-25i)<15, Mathematics

Assignment Help:

Mod(Z-25i)<15 then diffrence of min,max of argZ
 

Sol) mod (Z-25i)<15,
means Z lies in the circumference of the circle with (0,25) at its centre and radius less then 15.
so difference in the max and min value of arg Z is given by the angle between the common tangents to the circle from origin.
the length of the tangents are 20 units( root  [(25)^2 - (15)^2])

Hence the angle between y axis and a tangent is tan inverse (15/20) = tan inverse 3/4=37 degree.
hence the total diff. = angle between the tangents = 2 times the angle between the y axis and one of the tangents.

   =2.37=74 degree or 2.[tan inverse 3/4]

= 74 degree or [tan inverse (24/7) ]


Related Discussions:- Mod(z-25i)<15

Times, teach me how to o times 7s

teach me how to o times 7s

Probability, There are 20 defective bulbs in a box of 100 bulbs.if 10bulbs ...

There are 20 defective bulbs in a box of 100 bulbs.if 10bulbs are choosen at random then what is the probability of there are just 3defective bulbs

Maths, f all the permutations of the letters of the word chalk are written ...

f all the permutations of the letters of the word chalk are written in a dictionary the rank of this word will be?

Exponents., the (cube square root of 2)^1/2)^3

the (cube square root of 2)^1/2)^3

Shares and dividend, a man in rested rupee 800 is buying rupee 5 shares and...

a man in rested rupee 800 is buying rupee 5 shares and then are selling at premium of rupee 1.15. He sells all the shares.find profit

Use the power function to find derivative, Given, y = f(x) = 2 x 3 - 3x 2 ...

Given, y = f(x) = 2 x 3 - 3x 2 + 4x +5 a)  Use the Power function to find derivative of the function. b)  Find the value of the derivative at x = 4.

MARKOV PROCESS, EXPLAIN HOW MARKOV PROCESS IS APPLIED IN BRAND SWITCHING?

EXPLAIN HOW MARKOV PROCESS IS APPLIED IN BRAND SWITCHING?

Closure : Activity 5.4, A classmate mixes 2 drops of red food coloring for ...

A classmate mixes 2 drops of red food coloring for every 4 drops of blue food coloring. Create a ratio table with 5 entries to represent this situation. Write the entries of the ra

Prove gcd value, Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc f...

Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc for all c. (b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd