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#1 2024-10-20 00:15:09
Coordinate Geometry question
Find the equation of locus of point which moves on the line joining the points (2,4) and (5,9).
Full solution with process please. 
"Talent hits the target no one else can hit. Genius hits the target no one else can see." - Arthur Schopenhauer
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#2 2024-10-20 00:26:25
- Jai Ganesh
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Re: Coordinate Geometry question
Hi ktesla39,
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4 2024-10-20 00:42:00
- Bob
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Re: Coordinate Geometry question
Find the equation of locus of point which moves on the line joining the points (2,4) and (5,9).
That will be the equation of the line.
Step 1. Find the gradient.
The general equation of a straight line is y = mx + c where m is the gradient, so I'll substitute in (2,4) and m = 5/3 to find c.
So we have
You can also express the locus like this: {points of the form (3t-1, 5t-1) for all t}
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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