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GoldRush18
Group Title
The circle C has equation (x3)^2+(y4)^2=25.
i. State the radius and the coordinates of the centre of C.
ii. Find the equation of the tangent at the point (6,8) on C.
iii. Calculate the coordinates of the points of intersection of C with the straight line y=2x+3.
 2 years ago
 2 years ago
GoldRush18 Group Title
The circle C has equation (x3)^2+(y4)^2=25. i. State the radius and the coordinates of the centre of C. ii. Find the equation of the tangent at the point (6,8) on C. iii. Calculate the coordinates of the points of intersection of C with the straight line y=2x+3.
 2 years ago
 2 years ago

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GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
@experimentX
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
where do you have problem??
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
let y=mx+c be equation of your tangent dw:1336583832242:dw
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
find the value of m2 put the all the values m2, (6,8) in y = mx + c ... and find the value of c. then you have tangent!!
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
ok what about part 3
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
\[ (x  3)^2 + ((2x+3)  4)^2 = 25 \] Find the value of x, and put the value of x in equation of circle ... and find corresponding y
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
ok im still on part 2 when it comes to graph and stuff i just cant get it thanks though
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
you know how to find slope ... ?? from two points??
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
is that the same thing as the gradient
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
yes ... \[ m = \frac{y_2  y_1}{x_2  x_1}\]
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
and i got 4/3
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
allright you know when two lines are perpendicular, if m1 and m2 be their gradient or slope then \( m_1 * m_2 = 1\) ??
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
no i didnt know that so what are the values i should include for this part
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
m1 is just you calculated ... slope(gradient) of that radius!! m2 .. you have to calculate!! using the relation above.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
http://www.khanacademy.org/math/algebra/linearequationsandinequalitie/v/perpendicularlines?playlist=Algebra+I+Worked+Examples http://www.mathopenref.com/coordperpendicular.html I am not sure if it will help!!
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
No .. you should get m1*m2 = 1 (m1 = 4/3) m2 = 3/4
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
ok i got it now
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
how do i get C which is the y intercept?
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
you know one point ... so it satisfies that equation m = 3/4 (x,y) = (6,8) y = mx+c, c=??
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
i got y=3/4x+25/2
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
Oo .. put the values of x=6 and y=8 since (x,y) is solution and we already know this!!
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
ok i understand now
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
im gonna try part c
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
and im stuck once more
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
put y = 2x+3 on (x3)^2+(y4)^2=25 and find the value of x
 2 years ago
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