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GoldRush18

  • 2 years ago

The circle C has equation (x-3)^2+(y-4)^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.

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  1. GoldRush18
    • 2 years ago
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    @experimentX

  2. experimentX
    • 2 years ago
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    where do you have problem??

  3. GoldRush18
    • 2 years ago
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    part 2

  4. experimentX
    • 2 years ago
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    let y=mx+c be equation of your tangent |dw:1336583832242:dw|

  5. experimentX
    • 2 years ago
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    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!!

  6. GoldRush18
    • 2 years ago
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    ok what about part 3

  7. experimentX
    • 2 years ago
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    \[ (x - 3)^2 + ((2x+3) - 4)^2 = 25 \] Find the value of x, and put the value of x in equation of circle ... and find corresponding y

  8. GoldRush18
    • 2 years ago
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    ok im still on part 2 when it comes to graph and stuff i just cant get it thanks though

  9. experimentX
    • 2 years ago
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    you know how to find slope ... ?? from two points??

  10. GoldRush18
    • 2 years ago
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    nope

  11. GoldRush18
    • 2 years ago
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    is that the same thing as the gradient

  12. experimentX
    • 2 years ago
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    yes ... \[ m = \frac{y_2 - y_1}{x_2 - x_1}\]

  13. GoldRush18
    • 2 years ago
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    and i got 4/3

  14. experimentX
    • 2 years ago
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    allright you know when two lines are perpendicular, if m1 and m2 be their gradient or slope then \( m_1 * m_2 = -1\) ??

  15. GoldRush18
    • 2 years ago
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    no i didnt know that so what are the values i should include for this part

  16. experimentX
    • 2 years ago
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    m1 is just you calculated ... slope(gradient) of that radius!! m2 .. you have to calculate!! using the relation above.

  17. GoldRush18
    • 2 years ago
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    i got 0

  18. experimentX
    • 2 years ago
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    No .. you should get m1*m2 = -1 (m1 = 4/3) m2 = -3/4

  19. GoldRush18
    • 2 years ago
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    ok i got it now

  20. GoldRush18
    • 2 years ago
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    how do i get C which is the y intercept?

  21. experimentX
    • 2 years ago
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    you know one point ... so it satisfies that equation m = -3/4 (x,y) = (6,8) y = mx+c, c=??

  22. GoldRush18
    • 2 years ago
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    i got y=-3/4x+25/2

  23. experimentX
    • 2 years ago
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    Oo .. put the values of x=6 and y=8 since (x,y) is solution and we already know this!!

  24. GoldRush18
    • 2 years ago
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    ok i understand now

  25. GoldRush18
    • 2 years ago
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    im gonna try part c

  26. GoldRush18
    • 2 years ago
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    and im stuck once more

  27. experimentX
    • 2 years ago
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    put y = 2x+3 on (x-3)^2+(y-4)^2=25 and find the value of x

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