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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 population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke 0.1t where k is a constant and t is the time in years.
a shopkeeper buys two cameras at the same price . he sells one camera at a profit of 18% and the other at a price of 10% less than the selling price of the first camera. find his p
Michael made 19 out of 30 free-throws this basketball season. Larry's freethrow average was 0.745 and Charles' was 0.81. John made 47 out of 86 free-throws. Who is the best free-th
A man can do a piece of work in 25 days how many people are required to complete same work in 15 days?
Theorem If {a n } is bounded and monotonic then { a n } is convergent. Be cautious to not misuse this theorem. It does not state that if a sequence is not bounded and/or
Find out Least Common Multiple? The smallest number that is a common multiple of two numbers (that is, both numbers share the same multiple) is called the least common multiple
Eliminate the parameter from the subsequent set of parametric equations. X = t 2 + t Y = 2t - 1 Solution: One of the very easy ways to eliminate the parameter is to
Pai is rational or irrational
what is a linear equation?
Find out the hydrostatic force on the following triangular plate that is submerged in water as displayed. Solution The first thing to do here is set up an axis system
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