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Wednesday, April 5, 2017

MAY JUNE 2015 PAPER 31



WORKED SOLUTION








4) The equation of a curve is y = 3 cos 2x + 7 sin x + 2. Find the x-coordinates of the stationary points in the interval 0 ≤ x ≤ pi. Give each answer correct to 3 significant figures.








8) The complex number w is defined by w = (22 + 4i)/(2 − i)^2.
(i) Without using a calculator, show that w = 2 + 4i.
 (ii) It is given that p is a real number such that (pi/4) ≤ arg(w + p) ≤ (3pi/4). Find the set of possible values of p.
(iii) The complex conjugate of w is denoted by w*. The complex numbers w and w* are represented in an Argand diagram by the points S and T respectively. Find, in the form |z-a| = k, the equation of the circle passing through S, T and the origin.


















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10 comments:

  1. swissofferJanuary 22, 2019 at 2:53 PM

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  2. fizza faisalMarch 26, 2020 at 1:07 AM

    This comment has been removed by the author.

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  3. fizza faisalMarch 26, 2020 at 1:09 AM

    Can you explain me q8 part 2 and 3

    ReplyDelete
    Replies
    1. UnknownOctober 29, 2020 at 5:52 PM

      do you understand now? i need help

      Delete
    2. Abdullah IkramDecember 20, 2020 at 2:35 PM

      I also have a major doubt in the same part of the question. Part 2 as well as 3

      Delete
    3. AnonymousFebruary 12, 2021 at 2:29 AM

      sir please do explain

      Delete
  4. Adnan khan TutoringNovember 12, 2020 at 9:43 PM

    This comment has been removed by the author.

    ReplyDelete
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