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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)
Example 1 Add 4x 4 + 3x 3 - x 2 + x + 6 and -7x 4 - 3x 3 + 8x 2 + 8x - 4 We write them one below the other as shown below.
find the value of A and B if the following polynomials are perfect square:
Find the area enclosed between two concentric circles of radii 3.5cm, 7cm. A third concentric circle is drawn outside the 7cm circle so that the area enclosed between it and the 7
Childrens errors are a natural and inevitable part of their process of learning. In the process of grasping new concepts, children apply their existing understanding, which may
Impediments in time series analysis Accuracy of data in reflecting a) Drastic changes for illustration in the advent of a major competitor, period of war or unexpected chan
Explain some Examples of linear in - Equation, with solution.
defination of uper boundarie .
Stuckeyburg is a very small town in rural America. Use the map to approximate the area of the town. a. 40 miles 2 b. 104 miles 2 c. 93.5 miles 2 d. 92 miles 2
(1) Show that the conclusion of Egroff's theorem can fail if the measure of the domain E is not finite. (2) Extend the Lusin's Theorem to the case when the measure of the domain E
Standard Hypothesis Tests In principal, we can test the significance of any statistic related to any type of probability distribution. Conversely we will be interested in a few
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