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For the main differentiation rules (product, quotient etc) are you expected to expand and simplify to its smallest form? Just finished the product rule exercises and that was the most tedious thing i've ever done..

Just to clear up any slight confusion.. for a question such as .. 10) By calculating the interior angles, show that triangle ABC with vertices A(7,1), B(-1,-1) and C(5,-7) is an isosceles triangle. So I calculated the gradients however made the decision to disclude the absolute value in...

I am seriously considering doing ext 2 math next year.. I am aware that it is a big jump from ext 1, but would anyone like to share their experiences doing it? what was the hardest aspect of doing the subject? was it enjoyable? thanks!:smile:

16) A(0,6), B(2,0) and C(-2,0) ... b) Show that the perpendicular OA, where O is the origin, bisects BC Not really sure how to approach this one

How do you find the exact value of tan285 ? Is it something along lines of tan180 + tan(60+45)? Can you even do this? o.o

Greetings, By completing the square, what have i accomplished? It seems that completing the square only adds more steps to the problem For example, an equation like y=x^2-2x, the x and y intercepts can be found instantly However, when a question asks to complete the square, then sketch the...

A ship bearing 036 degrees is 5500 metres due south of a lighthouse Apparently, the 5500 metres is the hypotenuse of the diagram? Can someone please provide a diagram so I can understand it better thanks :drink:

In circle geometry, if you are to draw some lines, for example, 3 parallel chords, would it be viable to construct one of your chords through the centre and use some of those properties? OR Is it that you can't assume that the parallel lines are through the centre, and therefore, all lines...

Two chords AB and CD intersect within a circle at X. Prove that angle AXC is equal to the sum of the angles subtended at the circumference by the minor arcs AC and BD.

If I have already proven that a shape is a cyclic quadrilateral, where would the centre of the created quad be? I recall somewhere that the centre is the intersection of altitude lines (perpendicular to opposite sides of shape). I was also thinking that the angle at the centre would be twice the...

Find the length of the common chord of two intersecting lines whose radii are 15cm and 13cm and whose centres are 14cm apart. So I drew up the diagram, with the chord creating two right angled triangles I labelled one side x, and the other 14-x to find half of the length of the chord...

To prove similarity using the 'one corresponding pair of angles are equal and two pairs of sides are in proportion' Can you prove similarity with one or two unknown variables within the proportions? If so, does that mean you can consider them 'similar' even though some corresponding sides are...

Does proving aas require any specific set of angles and sides? or is it any two pairs of corresponding angles and one pair of corresponding sides?

Hey, is there any technique that I can use for complete accuracy in determining whether triangles are congruent or not? As i went through the answers I got one wrong. I am determining them by sight and am trying to rotate them in some way. There must be a better way!

Greetings, I have a couple maths questions to ask.. Circle and locus- 1. A(4,2) and B(-2,-8). Find the locus of a point P(x,y) that moves so the angle APB is a right angle. 2. A point P(x,y) moves so that its distance from (3,4) is proportional to its distance from (-1,-2). Find the equation...

14. b) Find the equation of the focal chord through Q We are given the information Q(2aq,aq^2) lies on the parabola, and x^2=4ay. What I tried was to find the focal point of the parabola, and use gradient formula using those co-ordinates but I can't seem to solve it. Help please.

There was a question in my textbook regarding locus and circles. The question states: Find the exact length of AB where A and B are the centres of the circles x^2-6x+y^2=0 and x^2+4x+y^2+6y-3=0 respectively. From what I assume, Im thinking this is supposed to be about the distance formula, once...