Question

Diagram 1 shows a triangle OPQ. Point S lies on the line PQ.
A point of W moves such that its distance from point S is always 2/1/2 units. Find the equation of the locus W.

It is given that the point P and point Q lies on the locus of W. Calculate:

(i) the value of k
(ii) the coordinate of Q

Answer 1

@wio are u free now? can you help me.

Answer 2

where are you stuck?

Answer 3

hmm, ok, for now I get 4x^2 - 24x + 4y^2 - 8y + 15 = 0 for equation of locus W, which I was not very sure whether it is the correct answer or not. And afterwards, I have no idea wht to do with the next question.

Answer 4

What is W?

Answer 5

locus ?

Answer 6

The question is missing a lot of context.

Answer 7

Done editing it.

Answer 8

what did you get for k and Q anyway?

Answer 9

I do not know how to do it. I mean, I am not sure wht the suitable formula to be use fo this one. so teach me how.

Answer 10

What does it mean by 2/1/2 units?

Answer 11

\[2\frac{ 1 }{ 2 } units\]

Answer 12

the distance between W and S

Answer 13

That makes W a circle of radius 2.5

Answer 14

alright..

Answer 15

The formula for a circle is \[
(x-h)^2+(y-k)^2=r^2
\]We let \(r\) be the radius, and \((h,k)\) be the center.

Answer 16

The \(k\) in the formula has no relation to the \(k\) in the problem though.

Answer 17

got it. so do I need to use the S coordinate then?

Answer 18

To find P, we let \(x=3/2\) and then solve for \(y\). There will be two possible y values, but we know we want the greater one.