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GoldRush18

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.

  • one year ago
  • one year ago

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  1. GoldRush18
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    @experimentX

    • one year ago
  2. experimentX
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    where do you have problem??

    • one year ago
  3. GoldRush18
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    part 2

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

    • one year ago
  5. experimentX
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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!!

    • one year ago
  6. GoldRush18
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    ok what about part 3

    • one year ago
  7. experimentX
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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

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

    • one year ago
  9. experimentX
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    you know how to find slope ... ?? from two points??

    • one year ago
  10. GoldRush18
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    nope

    • one year ago
  11. GoldRush18
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    is that the same thing as the gradient

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

    • one year ago
  13. GoldRush18
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    and i got 4/3

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

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

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

    • one year ago
  17. GoldRush18
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    i got 0

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

    • one year ago
  19. GoldRush18
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    ok i got it now

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

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

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

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

    • one year ago
  24. GoldRush18
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    ok i understand now

    • one year ago
  25. GoldRush18
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    im gonna try part c

    • one year ago
  26. GoldRush18
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    and im stuck once more

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

    • one year ago
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