### Random Questions from 2016 Prelims #4

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 [...]

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 [...]

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

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. KS Comments:

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Using GC, (ii) Using GC, Area (iii) Area (iv) Thus, KS Comments: [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) When When Coordinates are (ii) KS Comments: Some students wasted [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Differentiating the given equation by , (ii) Tangent parallel to [...]

This question was sent in by a student, which I think is rather interesting given 2015 A’levels P1 Q3 had something similar. Use a definite integral to evaluate , given your answer correct [...]

I came across the integral a few days ago. Pretty interesting, many ways to solve this integral, be it graphically or by substitution. ? Answer: Hint: Consider the graph of , it should give a [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let (ii) (iii) Using Graphing calculator, KS Comments: Students [...]

Okay, many students get confused over when to do what for transformation. I thought I should try to clarify a bit. First of all, it doesn’t matter whether you translate or scale first! x [...]

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