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xwrathbringerx
Guest
P is a variable on the curve y = 2x^2 + 3 and O is the origin. Q is the point of the trisection of OP nearer the origin. Find the locus of Q.
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y = 6x2 + 1 ???
Gussy Booo
Mathematics <3
Is the locus meant to be a equation or a coordinate........
O is the origin. Therefore (0,0). P is a variable. let it equal (x,y), and Q is the trisection of the interval PQ nearer the origin.
Yes, when it's trisected it means that the point cuts it into 3. In other words, M+N = 3...
Since it's nearer the origin it will be m = 1 ,, n = 2.
Then you do the ratio formula and you should get....
x = 2x/3 and y = 2y/3 ...
mehhhhh
O is the origin. Therefore (0,0). P is a variable. let it equal (x,y), and Q is the trisection of the interval PQ nearer the origin.
Yes, when it's trisected it means that the point cuts it into 3. In other words, M+N = 3...
Since it's nearer the origin it will be m = 1 ,, n = 2.
Then you do the ratio formula and you should get....
x = 2x/3 and y = 2y/3 ...
mehhhhh
clintmyster
Prophet 9 FTW
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- 2015
Yeah it means its cut into 3 equal parts. that was in my yr 11 first 3u test and i like totally bombed out because I'd never seen it before but one of our classes did >.<
gurmies
Drover
Wouldn't it be a 3:-2 division? If not, i'm quite sure you can just find midpoint OP, call it R, and then midpoint OR gives you the point...
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Gussy Booo
Mathematics <3
Yes, you can do midpoint.