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Thanks. I've solved it but I have a question - when we factor the quadratic we get and we recieve 2 solutions; without checking the answers - how do I know which x - variable to sub in?

I was recently offered to take up History Extension by teachers at my school and I put my name down for it - however, I am going to be picking Extension 2 Maths and I want to know if 3 Extensions is going to be manageable. Thoughts?

1a) Find the equation of the focal chord PF on the parabola x^2 = 8y where P= (-8,8) and F is the focus. I have already found that the equation is 3x +4y - 8 = 0 b) Find the coordinates of Q where the focal chord intersects the parabola again. THIS IS THE MAIN QUESTION I'M HAVING...

Thanks! Yeah its usually the wording of the questions that messes me up.

Thank you so much mate!

I'm having some trouble with some parametric questions: 1. Find the point of intersection of the tangents to the curve x^2 = 12y at (-6,3) and (2, 1/3) 2. The chord of contact of two tangents drawn from an external point P to the parabola x^2 =8y has equation x + 2y -3 = 0. Find the...

The question is as follows: "The gradient of the line between a moving point P(x,y) and the point A(5,3) is equal to the gradient of the line PB where B has coordinates (2,-1). Find the equation of the locus of P." Since I haven't done the Locus topic yet I'm really lost... This is from...

Thanks!

I am currently having trouble with part b - any help would be appreciated. 7a) Find where the line y= 3x + 4 intersects the parabola 2y=5x^2 Answers: (2,10) and (-4/5, 8/5) 7b) Find the equations of the tangents to the parabola at the points of intersection.

Thank you so much!

Here it is: Find the coordinates of the centre and find the radius of a circle with an equation of: x^2 + 8x + y^2 - 6y I haven't seen a circle equation like this, so I am confused. Any response would be appreciated.

Agreed, it is odd. It might be in the Yearly Exam though (fingers crossed).

I don't have tutoring help. I'm going at it alone to see how well I do by myself, however I do ask for help sometimes only when I really have no idea on how to solve a problem.

I don't really do questions that "make me feel better" I just go over how to do the basic stuff - from Cambridge and Maths In Focus. I will definitely make sure that my 2U Trig is near perfect - as Bearing is a topic that really confuses me... Thank you for your reply. This definitely helps!

Our teacher (for some reason) doesn't allow reading time. I have both textbooks - and I think I will need to go back and really master the 2U concepts - ESPECIALLY BEARINGS... I really want to do well in the HSC - especially in Maths - Thank you for your help!

Well, in my 1st exam my teacher decided to cram the exam with a lot of questions (almost every question being 1 or 2 marks) - and at the end of the exam they decided to put 3-4 mark questions (19 on the last page). However, I should of skipped some of them I suppose. The exam was on Polynomials...

I have now recieved 2 3U exams back both with results in the 50 - 60 percent range.:spzz::spzz::spzz: I feel depressed as I have a passion for maths but can't seem to do well in exams or in the lead up to them, make time to study for maths. My main questions are: 1. How can I effectively...

I'm sorry to ask but can you help me with Part 2 of that solution process please? I'm utterly useless...

Mate you're a legend thank you so much, I really appreciate it!!

My interpretation is that it is saying in the middle