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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)
How to Simplifying Square Roots ? To simplify square roots, 1. Factor the radicand into primes. 2. Circle each pair of like numbers. 3. For each pair of like numbers, place
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From a point P, two tangents PA are drawn to a circle with center O.If OP=diameter of the circle show that triangle APB is equilateral. Ans: PA=PB (length of tangents
0.36585858 find the sum if it is converges
On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four hiding locations (A, B, C, and D), and the two members of the hiding team can hide separately in a
What is the probability of guessing five questions on a test correctly
Solve the Extraneous Solutions ? You're worst enemy (aside from arithmetic mistakes), while you're trying to solve a rational equation, is forgetting to check for extraneous so
what is the are of a square that is 2 inches long and 2 inches wide?
approximate the following problem as a mixed integer program. maximize z=e-x1+x1+(x2+1)2 subject to x12+x2 =0
John was doing his homework on vertical addition, and had to compute : 5 3+ 3 4 and 6 8 +45 He did the first one easily, just the way his teacher had taught him. He first ad
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