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# FP1 maths question help. watch

1. I'm stuck on a question about ellipses.
I've got an equation of an ellipse:

x^2/9 + y^2/25 = 1

Find the possible values of m for which the line y=mx+6 intersects the ellipse.
2. Anyone?
3. I'm unsure if it is necessary, but I'd rewrite them to begin:

(x/3)^2 + (y/5)^2 = 1
4. (Original post by NeeIam)
Anyone?
I am slightly confused (Perhaps because i've just got up) but you have the general equation of a line. Do you know what c is or not?
5. (Original post by zetamcfc)
I am slightly confused (Perhaps because i've just got up) but you have the general equation of a line. Do you know what c is or not?
Damn I should've proof read my initial post. The equation of the line is y=mx+6
6. (Original post by NeeIam)
I'm stuck on a question about ellipses.
I've got an equation of an ellipse:

x^2/9 + y^2/25 = 1

Find the possible values of m for which the line y=mx+6 intersects the ellipse.
Easiest way to solve this is to draw the ellipse then use trial and error to find m.
7. (Original post by NeeIam)
I'm stuck on a question about ellipses.
I've got an equation of an ellipse:

x^2/9 + y^2/25 = 1

Find the possible values of m for which the line y=mx+6 intersects the ellipse.
Rewrite as:
(x/3)^2 + (y/5)^2 = 1

You know that the line y=mx+6 intersects the ellipse which implies that they share coordinates at least once, so plug in y=mx+6 into the rewritten version of the ellipse and expand. Once fully expanded, plug in the relevant values into b^2 - 4ac and then you should get the answer - hopefully.
8. (Original post by RoseGatz)
Rewrite as:
(x/3)^2 + (y/5)^2 = 1

You know that the line y=mx+6 intersects the ellipse which implies that they share coordinates at least once, so plug in y=mx+6 into the rewritten version of the ellipse and expand. Once fully expanded, plug in the relevant values into b^2 - 4ac and then you should get the answer - hopefully.
Should it be b^2-4ac>0 ?
9. (Original post by NeeIam)
Should it be b^2-4ac>0 ?
Possibly... Do you know what the answer is supposed to be?
10. (Original post by RoseGatz)
Possibly... Do you know what the answer is supposed to be?
Nope but I'm working towards it
11. (Original post by NeeIam)
Nope but I'm working towards it
Is this an exam paper?
12. (Original post by zetamcfc)
Is this an exam paper?
No it's from a worksheet

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