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Mathematics Dictionary
Dr. K. G. Shih


Analytic geometric Examples

A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P |
Q | R | S | T | U | V | W | X | Y | Z |
Topics by Keywords


Q01. A

  • Asymptote
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    Q02. B


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    Q03. C


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    Q04. D
  • Directrix of ellipse
    • Prove that D*e = (a - f)*a*e : AN 07 16

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    Q05. E
  • Equation : Solve x^n + 1 = 0 (See AN 09 02)
  • Equation : Solve x^n - 1 = 0 (See AN 09 03)
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    Q06. F


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    Q07. G

    • 08 02 Geometric series

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    Q08. H

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    Q09. I


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    Q10. J


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    Q11. K


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    Q12. L


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    Q13. M


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    Q14. N


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    Q15. O


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    Q16. P

  • Parabola : R = csc(A/2)^2 is a parabola (AN 06 08)
  • Parabola : R = sec(A/2)^2 is a parabola (AN 06 08)
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    Q17. Q


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    Q18. R

  • R = cos(A) is a circle : AN 10 03
  • R = cos(A) and y = cos(x) : Comparison (AN 10 03)
  • R = sin(A) is a circle : AN 10 03
  • R = sin(A) and y = sin(x) : Comparison (AN 10 03)
  • R = cos(2*A) and R = sin(2*A)
    • Compare the petals
    • Reference : AN 10 03 : R = sin(2*A) and AN 10 04 : R = cos(2*A)
  • R = cos(3A) and R = sin(3*A)
    • Compare the petals
    • Reference : AN 10 03 : R = sin(3*A) and AN 10 05 : R = cos(3*A)
  • R = cos(3*A/2) and R = sin(3*A/2)
    • Compare the petals
    • Reference : AN 10 06 : R = sin(3*A/2) and AN 10 07 : R = cos(3*A/2)

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    Q19. S


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    Q20. T

  • Trinagle : E,F,T are points on sides and it form a triangle EFT
    • F on BC and BF = BC/2,
    • E on CA and EA = CA/3
    • T on AB and find AT : TB if x^2 = y*z
    • Where x = triangle FTB, y = EFB and z = EAT

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    Q21. U


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    Q22. V

    • 05 05 Vertex of quadratic function
    • 16 06 Vertical asymptote in y = x + 4/(x^2)

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    Q23. W


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    Q24. X

  • x = sec(t) and y = tan(t)
    • Compare with x = tan(t) and y = sec(t)
    • AN 15 02 and AN 15 03

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    Q25. Y

  • y = cos(x) and R = cos(A) : Comparison (AN 10 03)
  • y = cos(x) and y = cosh(x) : Comparison (AN 10 03)
  • y = sin(x) and R = sin(A) : Comparison (AN 10 03)
  • y = sin(x) and y = sinh(x) : Comparison (AN 10 03)
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    Q26. Z


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    Copyright © Dr. K. G. Shih, Nova Scotia, Canada.

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