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This is a complex question, the proof of which is unlikely to be asked at maths A-level, however the process behind the proof practices fundamental knowledge for the subject. If a student can successfully...

Well that depends on the curve, but if it is a quadratic, we can do it with the following method. We know that differentiating the equation of the curve will give us the equation of the tangent to that cu...

A triangle with two equal sides and angles is an isosceles triangle. Angle x will be shown in a diagram during the interview.

The trick here is to figure out what topic the question relates to, and recall all relevant theory and formula. Often questions look tougher than they actually are. Begin by writing out what you know at t...

y=3x-5x^2 + (3x-5)^2 + 2x - 4(3x-5) - 5 = 0x^2 + 9x^2 -30x +25 + 2x -12x + 20 - 5 = 010x^2 -40x + 40 = 010 (x^2 - 4x +4) = 010(x - 2)^2 = 0x=2implies one point of contact, therefore tangenty = 3x - 5y = 6...