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Here, we shall discuss something called the Triangle inequality which states that . I thought this is rather important as I see too many students writing things like latex |2+(-2)| = 0latex [...]

So now let us look at a simple relationship that many students memorise instead of understand. Below, we see a absolute function graph. Now we all know that gives us . So how did that happen? [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) (a) Required answer (b) (iii) KS Comments: For (iib), students [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Given is real, since c is non-zero. (iii) , Least n = 10. KS [...]

I received this from a student of mine who was really confused with the transition from line 2 to line 3. Students should give it a thought before reading my explanation below. Firstly, my [...]

A few weeks back, I conducted a weekend of lessons on the modulus sign (or absolute value sign) with all my JC2. Its to prepare them for the upcoming prelims and A-levels. Many students till [...]

This is a classical mathematical fallacies. At hindsight, everything looks perfectly fine. The mistake is in line 5. This is quite similar to the one we discussed previously. We took the [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Since (ii) (iii) KS Comments: This is a question that tests student [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Since is a root, Comparing the real and imaginary coefficients, [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (a) (i) Locus of z is a circle with centre (-5, 1) and radius 4. (ii) By [...]