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Thanks man. Can anyone help me with this: a) Point M divides the interval AB internally in the ratio 1:x in such a way that AM is the geometric mean of BM and BA, find x and draw a diagram. b) Point M divides the interval externally in the ratio 1:x in such a way that AB is the geometric mean...

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This is a two part question: a) Point M divides the interval AB internally in the ratio 1:x in such a way that AM is the geometric mean of BM and BA, find x and draw a diagram. b) Point M divides the interval externally in the ratio 1:x in such a way that AB is the geometric mean of AM and BM...

Thanks guys for the help and yes, I wrote the question wrong, sorry. Can anyone do 28 b) and c)?

Does anyone else have answers for 25, and 28 b) and c)? I also have this question: Show that every circle that passes through the intersections of the circle x^2 + y^2 = 2 and y=x can be written in the form (x-u)^2+ (y+u)^2 =2(1+u)^2

25. The line passing through M(a,b) intersects the x-axis at A and the y-axis at B. Find the equation of the line if: (a) M bisects AB, (b) M divides AB in the ratio 2 : 1, (c) M divides AB in the ratio k:l 26. The tangent to a circle is perpendicular to the radius at the point of contact. Use...

That's what I got but as I said the answer was (4x3!)4! which is 576.

Hi this is the question: Find the number of ways in which the letters of the word EPSILON can be arranged in a row so that the three vowels are all next to each other. I let the three vowels be V, and the four constants be C VCCCC You can arrange the whole thing 5! ways, then the vowels 3...

Here is the question: Find the equations of the four circles which are tangent to the x-axis, the y-axis, and the line x + y = 2. I don't really know where to start. Thanks!

Thanks a lot, i knew the second was the same but could find a way to factorise them. :)

If this will help here's the picture of the question

Yep that's the question, if it's any help the answers are 45, 180 and 225 degrees for the first one and 120, 240, 19°28' and 160°32' for the second one.

The question is cosxtanx+tanx=cosx+1, I don't know what to do. Thanks. Also 6sinxcosx+3sinx=2cosx+1, it's the same type of question.