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  1. L

    Complex Number

    let P=cos(2pi/7)+isin(2pi/7). the complex number a=P+P^2+P^4 is a root of the quadratic equation x^2+ax+b=0, where a and b are real. 1. prove 1+P+P^2+.....P^6=0 2. find the values of the coefficients a and b 3. deduce that -sin(pi/7)+sin(2pi/7)+sin(3pi/7)=root 7 times 0.5
  2. L

    polymerisation

    would it be possible to make a condensation polymer from 1-chloropropanol?
  3. L

    complex number problems

    can some1 please help me on these 3 questions?:) cheers
  4. L

    a 4u qus on series and sequences

    hey guys, can some1 help me out with this question ? thanks a lot. :) see the attachment
  5. L

    a projecile problem

    thanks denoz, it's very helpful
  6. L

    a projecile problem

    a missile was launched from the ground at an angle of 30, the initial velocity was 300 m/s a)find the total flight time b)what is the value of horizontal velocity at 20s
  7. L

    another tangent problem

    tangents from the pt P(m,n) touch the parabola x^2=8y at the pts A and B. show that the x-coordinates of A and B are the roots of the quadratic equation x^2-2mx+8n=0
  8. L

    a locus+parabola+parametric question

    :confused: P(2ap,ap^2) and Q(2aq,aq^2) are points on X^2=4ay, and the chord PQ subtends a right angle at the vertex O. show that pq=-4
  9. L

    a trig question

    if a/sinA=b/sinA, show that sinAcosA=ab/a^2+b^2 ?:bomb:
  10. L

    a basic tangent problem

    prove that 20x+y=28 is a tangent to the curve y=x^2*(1-2x)?:confused:
  11. L

    circle geometry question

    i think if u use the theorem "angles in the same segment are equal", then u can get LBAC=LBDC, so LABC=LBDC, LCDE=LBDC
  12. L

    2 hard geometry problems

    see the attachments:
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