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

Evaluate of the largest angle, The measures of the angles of a triangle are...

The measures of the angles of a triangle are in the ratio of 3:4:5. Evaluate of the largest angle. a. 75° b. 37.5° c. 45° d. 60° a. The addition of the measures of t

Bill traveled 117 miles in 2.25 hours what was his average, Bill traveled 1...

Bill traveled 117 miles in 2.25 hours. What was his average speed? Use the formula d = rt (distance = rate × time). Substitute 117 miles for d. Substitute 2.25 hours for t and

Find the volume of water left in the cylindrical tub, A solid is in the for...

A solid is in the form of a right circular cone mounted on a hemisphere. The radius of the hemisphere is 3.5 cm and the height of the cone is 4 cm. The solid is placed in a cylindr

What it means to count-learning to count, What do we understand by "being a...

What do we understand by "being able to count"? Think about the following situation before you answer. Example 1: Three year-old Mini could recite numbers from I to 20 in the co

Obtain the equation of the diagonals, the sides of a quad  taken at random ...

the sides of a quad  taken at random are     x+3y-7=0              x-2y-5=0 3x+2y-7=0               7x-y+17=0  obtain the equation of the diagonals

Geometry, how much congruent sides does a trapezoid have

how much congruent sides does a trapezoid have

High dimensions, List the five most important things you learned about high...

List the five most important things you learned about high dimensions.

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