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maths ext 1 help (1 Viewer)

viraj30

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can some1 show me the working out of this question..

find, from the first principles, the equation of the chord joining-
(a) t1= 2, t2= -1 on x= 2t, y= t^2

This is from parametric representation of parabola...Thanx
 
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bleakarcher

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gtfo finance, stupid fuking troll. sorry btw buddy, i cant answer this question
 

nightweaver066

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Sub one of the t values first.

I"ll use t = 2 first. When t = 2,

x = 2(2) = 4
y = (2)^2 = 4

Now you have obtained a point (4, 4)

Doing the same thing with the other t value, t = -1. When t = -1,

x = 2(-1) = -2
y = (-1)^2 = 1

Point is (-2, 1)

Now find the gradient between the two points.

m = (4-1)/(4+2)
= 1/2

Using point gradient formula,
y -1 = (x + 2)/2
2y - 2 = x + 2
x - 2y + 4 = 0
 

viraj30

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well im in year 10 tryin to do questions from my bro's book...the book says maths ext 1
 

bleakarcher

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^that is wat i had in mind, but it says by first principle which is a lolwut?
 

viraj30

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Sub one of the t values first.

I"ll use t = 2 first. When t = 2,

x = 2(2) = 4
y = (2)^2 = 4

Now you have obtained a point (4, 4)

Doing the same thing with the other t value, t = -1. When t = -1,

x = 2(-1) = -2
y = (-1)^2 = 1

Point is (-2, 1)

Now find the gradient between the two points.

m = (4-1)/(4+2)
= 1/2

Using point gradient formula,
y -1 = (x + 2)/2
2y - 2 = x + 2
x - 2y + 4 = 0
you are da man!
 

nightweaver066

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well im in year 10 tryin to do questions from my bro's book...the book says maths ext 1
Read the examples prior to the questions. They will run you through how to approach and solve these questions.
 

Deep Blue

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can some1 show me the working out of this question..

find, from the first principles, the equation of the chord joining-
(a) t1= 2, t2= -1 on x= 2t, y= t^2

This is from parametric representation of parabola...Thanx
Basically sub in the values t=2 and t=-1 to get two pairs of co-ordinates. Then enter those co-ordinates into this formula to get the equation of the chord.
 

someth1ng

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I was worried with the "first principles" part...I was like "WTF, SHIT" then I realised that someone else solved like how I would have solved it.
 

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