### Complex Numbers with Graphings Problem

N95/II/12 Given that where , express the real and imaginary parts of in terms of . (i) Hence show that the point representing in an Argand diagram lies on the curve with Cartesian equation . (ii) [...]

N95/II/12 Given that where , express the real and imaginary parts of in terms of . (i) Hence show that the point representing in an Argand diagram lies on the curve with Cartesian equation . (ii) [...]

This is just me talking to myself… With paper 1 over, seems like this time round, the paper is slightly imbalanced. Questions that were too easy at the front, and last three became rather [...]

Firstly, everything here will just be me talking to myself and I am not spotting any trends. Functions, good to know how to do piecewise composite functions. Checking for inverse algebraically. [...]

Many students of mine have asked me this question numerous times. Some lamented that they work really hard, finishing off the revision package timely. However, they still cannot improve from a [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. Numerical Answers (click the questions for workings/explanation) [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. Numerical Answers (click the questions for workings/explanation) [...]

I want to share a question that is really old (older than me, actually). It is from the June 1972 paper. As most students know, Maclaurin’s series was tested in last year A’levels [...]

Question 1 (i) (ii) Using long division, we find that So the asymptotes are and Question 2 (i) This is a hyperbola with centre , asymptotes are , and vertices and . is a graph with asymptotes and [...]

Its been awhile since we last posted. And it is good to know that JC1s have all been well inducted or settled into their schools. Of course, I do hear that many schools are severely overcrowded [...]

Over the weekends, Mr. Teng had the privilege to share his knowledge about JC with parents and students of O’levels 2017, at Newtonapple Learning Hub. The lessons for J1 2018 started on the [...]

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