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  1. E

    a question in Conics

    u find the equations of the normals at P and Q solve them simultaneously then make y the subject. equation normal: %5Cfrac%7Ba%5E2x%7D%7Bx_%7B1%7D%7D-%5Cfrac%7Bb%5E2y%7D%7By_%7B1%7D%7D%20=%20a%5E2%20-%20b%5E2 and same for the other one when solvin sumlataneouly use the subtraction method easier
  2. E

    a question in Conics

    P(x1,y1) and Q(x2,y2) are two points on the ellipse Let the equation of the line PW be y = mx + k. As PQ passes throuhg the focus (ae,0) therefore mae + k therefore = -mae y=mx-mae (equation of PQ) Solve simultaneously the equations of chord PQ and the ellipse to find P and Q...
  3. E

    Trig Identity

    3x%5E2y+3xy%5E2%5C%5C%20%5C%5C%203xy%28x+y%29%5C%5C%20%5C%5C%20taking%20x%20=%20sin%5E2@%20-%20and%20-%20y%20=%20cos%5E2@%20%5C%5C%20%5C%5C%203xy%28sin%5E2@%20+%20cos%5E2@%29 lol its problably wrong but anyway
  4. E

    Trig Identity

    yea Tim u fixed it up way before oops
  5. E

    Trig Identity

    yea lol, it doesn't work bbut i had the right idea anyway next question
  6. E

    Trig Identity

    really
  7. E

    Trig Identity

    sin%5E%7B6%7D%5CTheta%20+%20cos%5E%7B6%7D%5CTheta%20+%203sin%5E2@cos%5E2@%20=%201%5C%5C%20%5C%5C%20LHS%20=%20%28sin%5E2@%29%5E3%20+%20%28cos%5E2@%29%5E3%20+%203sin%5E2@cos%5E2@%5C%5C%20%5C%5C%20=%20%28sin%5E2@%20+%20sin%5E2@%29%5E3%20-%203sin%5E2@cos%5E2@%20+%203sin%5E2@cos%5E2@%20%5C%5C%20%5C%5C...
  8. E

    Trig Identity

    Yea that's the way i did it. But it was a bit messy. And hard to see
  9. E

    Study Discussion

    Re: Studying during hols at least 2 hours on each subject upto 12 hours a day lol
  10. E

    Audio books... useful?

    Never done any. I was thinking of recording my notes and then listening but naaa.
  11. E

    Trig Identity

    i think this way works aswell sin^6@ + cos^6@ + 3sin^2@cos^2@ = 1 LHS = (sin^2@)^3 + (cos^2@)^3 + 3sin^2@cos^2@ = (sin^2@ + sin^2@)^3 - 3sin^2@cos^2@ + 3sin^2@cos^2@ = (sin^2@ + sin^2@)^3+0 = (1)^3 =1 RHS somone1 check plz i don't know if there is a rule...
  12. E

    mathematical induction in geometry question

    Geometrical proof by induction
  13. E

    what do you love/hate about promininet australian politicians?

    I hate Kevin Rudd, Wain Swane, and that other red head women really annoyin especially swane
  14. E

    What study did you do today?

    did about 2 hours on 3 unit maths 2 hours on 4 unit maths 1-2 hours on chemistry 2-3 hours on physics was goin to do soft -eng but couldn't be bothered
  15. E

    the only drawback with j. coroneos book

    yea i wouldn't actually use the book for those 2 topics. I have the same book and i was looking for curve sketching as well but to my surprise was not there
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    Conics: Derive formula or use formula's

    Well i was wondering for conics, are we allowed to directly use the formula's of tangents, equation of chord of contact and etc or do we have to derive them on the spot. And is it easier to use formula's directly or derive them Which way would be easier and most effective Thnks.
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    Dropping extension english or 4 maths?

    will 4unit if u put in the time and effort will pay of, but again it probably takes alote of time, while english 3u doesnt scale as well as 4 but i dont konw whether ever u like
  18. E

    James Ruse

    Who cares about whether the subjects are hard, just get into the school. They will probably be accepting a higher standard in subjects.
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