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# Exam question help watch

1. “A point P lies on the line y= 4-3x. The point p is a distance squared root 34 from the origin. Find two possible positions of P.” I dont get this at all, it doesnt come with a diagram just a worded question
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2. (Original post by Luciehkd)
“A point P lies on the line y= 4-3x. The point p is a distance squared root 34 from the origin. Find two possible positions of P.” I dont get this at all, it doesnt come with a diagram just a worded question
If it lies on that line at , then it has coordinates . So, what is the distance of it from the origin in terms of ? This is just applying Pythagoras' Theorem.
3. (Original post by Luciehkd)
“A point P lies on the line y= 4-3x. The point p is a distance squared root 34 from the origin. Find two possible positions of P.” I dont get this at all, it doesnt come with a diagram just a worded question
Sketch the line, marking where it crosses the axes. Now draw a circle of radius ~6 (so that you get the intersections in approximately the right locations), centered on the origin. This should show you (approximately) the two points that you're after.

The maths is actually a little simpler. Any point on the line can be written as (x, 4-3x). Can you write a formula for the distance from the origin to that generic point? Solve for that being root 34.

Please post your workign if you have any issues.
4. It cant be, its not a right angled triangle.. im so confused
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5. (Original post by Luciehkd)
“A point P lies on the line y= 4-3x. The point p is a distance squared root 34 from the origin. Find two possible positions of P.” I dont get this at all, it doesnt come with a diagram just a worded question
Answer is p( 3 ; -5) and (-3/5 ; 29/5)
6. (Original post by Luciehkd)
It cant be, its not a right angled triangle.. im so confused
Red line is

The purple line is the line whose length you're looking for.

7. (Original post by Rockers.)
Answer is p( 3 ; -5) and (-3/5 ; 29/5)
Thank you, would you please explain how you got this. If its not too much to ask?
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8. (Original post by Rockers.)
Please don't post answers. The intention is to help posters understand how to tackle problems.

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