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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)
logical reasoning
The square of a number added to 25 equals 10 times the number. What is the number? Let x = the number. The statement, "The square of a number added to 25 equals 10 times the n
express the complex number z=5+i divide 2+3i in the form a+ib
2 5 - 6 7 4 6 8 -10 8- 6 1 4
Reflexive Relations: R is a reflexive relation if (a, a) € R, a € A. It could be noticed if there is at least one member a € A like (a, a) € R, then R is not reflexive. Sy
solve x+y= 7 and x-y =21
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Extreme Value Theorem : Assume that f ( x ) is continuous on the interval [a,b] then there are two numbers a ≤ c, d ≤ b so that f (c ) is an absolute maximum for the function and
online Exam
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