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Hi, currently im at 12 units for the preliminary course, and for my HSC subjects im wishing to drop 2 subjects (worth 3 units) and pick up Maths Ext 2. which then will bring me to a total of 10 units. However the head maths teacher in my school told me it was an invitational subject and that i...

The equation of a parabola is of the form y=kx^2. If the line 8x-y-4=0 is a tangent to the parabola, find the value of k. thanks.

1. For what values of 'b' is the line y=3x+b, a tangent to y=X^3 ? 2. AB is a chord of length 16 units of the circle x^2 + y^2= 100 and P is the midpoint of AB. Determine the locus of P. 3. b) of attachement thanks in advance

If P(x,y) is any point on the line y=4x+3 show that the midpoint 'M' of OP has coordinates (x/2,1/2(4x+3)). Hence find the locus of M. (O is the origin), dont understand when it asks for the 'locus of M'.

Given two points A(3,-2) and B(-1,7), find the equation of the locus of P(x,y) if the gradient of PA is twice the gradient of PB. Im unsure on how to solve this question.

hi im a little confused, Find the equation of the locus of a point that moves so that its distance from the line 3x+4y+5=0 is always 4 units.

I'm unsure about question D. Would anybody mind explaining how to do it?

Hi, trig quadrant question (g) I've gotten 2 solutions but it has 4. Why is that? The domain is -180<x<180 thanks

Hello,im currently doing physics as one of my preliminary subjects in year 11 and right now im finding it very difficult. Im not sure about the reason, the math is quite simple and usually im able to solve simple physics questions but whenever when we're introduced to a new concept i immediately...