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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)
The probability that a leap year will have 53 sunday is ? and how please explain it ? (a)1/7 (b) 2/7 (c) 5/7 (d)6/7 Sol) A leap year has 366 days, therefore 52 weeks i.e
The tenth term in the binomial expansion of (1-1/4)(1-1/5)(1-1/6)...(1-1/n+3) is equal to
construct aquadrilaterl PQRSin which pq=3.5cm qr=6.5cm ,p=60 ,q=105 ,s=75
Q. How to Collecting and interpreting data? Ans. Collecting and interpreting data is the most important job of a statistician. There are many types of studies and differe
Differentiate following. f ( x ) = sin (3x 2 + x ) Solution It looks as the outside function is the sine & the inside function is 3x 2 +x. The derivative is then.
Solve the recurrence relation T (K) = 2T (K-1), T (0) = 1 Ans: The following equation can be written in the subsequent form: t n - 2t n-1 = 0 Here now su
A one-line diagram of a simple three-bus power system is shown in Figure 1 with generation at bus 1. The magnitude of voltage at bus 1 is adjusted to 1.05 per unit. The scheduled l
find the greater value of a and b so that the following even numbers are divisible by both 3 and 5 : 2ab2a
The square of one integer is 55 less than the square of the next consecutive integer. Find the lesser integer. Let x = the lesser integer and let x + 1 = the greater integer. T
Submit solutions for all of the following questions. Remember to set out your answers showing all steps completely and explicitly justify your steps. 1. Provide, in no more than
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