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Mathematics Dictionary
Dr. K. G. Shih


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Questions



  • Keyword | S103- Harmonic series Sum[1/n] is divergent
  • Keyword | S46 - Heights : Construct triangle using 3 given heights
  • Keyword | S11 - Heights : Pedal triangle
  • Keyword | S110- Heights : Three heights of triangle ABC are concurrent
  • Keyword | S83 - Hexagon ABCDEF inscribed unit circle
    • PA^2 + PB^2 + PC^2 + PD^2 + PE^2 + PF^2 = 2*6
  • Keyword | S17 - Hyperbola : Comparison of
    • ((x-h)/4)^2 - ((y-k)/3)^2 = 1 and ((x-h)/4)^2 - ((y-k)/3)^2= -1
  • Keyword | S20 - Hyperbola : Comparison of
    • Hyperbola x = sec(t) and y = tan(t) with
    • Hyperbola x = tan(t) and y = sec(t)
  • Keyword | S27 - Hyperbola : compare x^2 - y^2 = -1 and x*y = 1
  • Keyword | S32 - Hyperbola : Convert x*y to standard hyperbola form
  • Keyword | S34 - Hyperbola : Properties of y = 1/x
  • Keyword | F315- Hyperbola : Locus
    • 1. Two fixed points F and G. If PF - PG = 8, Find locus of P
    • 2. Prove locus of hyperbola is (x/a)^2 - (y/b)2 = 1
  • Keyword | F316- Hyperbola : (x/a)^2 - (y/b)^2 = -1
    • 1. Comparison : (x/a)^2 - (y/b)^2 = -1 and (x/a)^2 - (y/b)^2 = 1
    • 2. Prove that x = sec(t) and y = tan(t) is a hyperbola
  • Keyword | F317- Hyperbola : R = (D*e)/(1 - e*cos(A)) is hyperbola
    • 1. Convert (x/4)^2 - (y/3)^2 = 1 to polar form
    • 2. Convert R = 2.25/(1 - 1.25*cos(A)) to rectangular form

  • Keyword | S70 - Hyperbolic function : Compare y = sinh(x) and y = sin(x)

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