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For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..? Solution) |z| + |z-(e^ia)| + |z-2(e^ia)| we see.....oigin , e^ia , 2e^ia , forms a straight line.and for minimum value..... z must coincide with e^iahence the equation becomes:=|e^ia| + 0 + |-e^ia|=1 + 0 + 1=2(ANS)
What is the ratio of the cone''s volume to the cylinder''s volume
some basics problems to work
is 49 a square number?
What percent of the figure below is shaded? Break the rectangle into eighths as shown below. The shaded part is 6/8 or 3/4 ; 3/4 is 75%.
Product Moment Coefficient (r) This gives an indication of the strength of the linear relationship among two variables. N
A drug is administrated once every four hours. Let D(n) be the amount of the drug in the blood system at the nth interval. The body eliminates a certain fraction p of the drug duri
In this task you are required to make use of trigonometric functions, research and use the Monte Carlo method of integration to determine areas under curves and perform calculation
Two trains leave two different cities 1,029 miles apart and head directly toward every other on parallel tracks. If one train is traveling at 45 miles per hour and the other at 53
In a parallelogram ABCD AB=20cm and AD=12cm.The bisector of angle A meets DC at E and BC produced at F.Find the length of CF.
1. In 1900, a certain country's population was 77,977,459 and it's area was 2,821,924 square miles, In 2000, the country's population was 283,575,229 and its area was 3,551,003 sq
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