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HCI P1 Q5 Sketch on a single Argand diagram, the loci defined by and (i) Find the minimum value of (ii) Find the minimum value of (iii) Given that , state the minimum value of

NYJC P1 Q4 Referred to the origin , the points A and B have position vectors a and b respectively. A point C is such that OACB forms a parallelogram. Given that M is the mid-point of AC, find the [...]

VJC P1 Q6 A curve has equation and a line has equation as shown above. is a fixed point on C and A is an arbitrary point on . State the geometrical relationship between the line segment AB and is [...]

AJC P1 Q7 The function f is defined by . (i) State the greatest value of for which exists. (ii) Define in similar form.

NYJC P1 Q10b The function (i) Use an algebraic method to find the range of g. (ii) State a sequence of transformations which transform the graph of to the graph of

YJC P1 Q4 Given for . If and , sketch the graph of for .

As some Preliminary exams have begun, I’ve heard from students that they are severely defeated after the papers. Several subjects were so difficult that they are having second thoughts about [...]

So these past months, I have been focusing on harnessing students’ abilities to interpret questions properly. Every line in a question is there for a reason and hold little pieces of information. [...]

Our team at “theculture.sg” have been really busy the past few weeks, which explains the lack of posts. We have really exciting news to share with our reads. While we are busy preparing our [...]

You can find the solutions of all ten sets of the June Revision Exercise we did in class. Have fun! June Revision Exercise 1 June Revision Exercise 2 June Revision Exercise 3 June Revision [...]