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- Defintion : it is the family of the conics
- Formula : Y=F(x), R=G(A) and parametic equation
Q1. Deifintion
A1. Formula
- 1. Rectangular form ((x-h)/a)^2 - ((y-k)/b)^2 = 1
- 2. General form a*x^2+b*x*y+c*y*2+d*x+e*y+f = 0 and b^2-4*a*c >0
- 3. Parametric form : x=h-a*cos(t) and y=k-b*sin(t)
- 4. Polar form
- R=D*e/(1+e*cos(t))
- R=D*e/(1-e*cos(t))
- R=D*e/(1+e*sin(t))
- R=D*e/(1-e*sin(t))
Q2. Draw a tangent to an hyperbola ((X-h)/3)^2 - ((Y-k)/2)^2 = 1
A2. Costruction
- (1) Draw the curve : f=SQR(a^2+b^2)
- (2) Draw focus F and G
- (3) Draw a point P (.e.g X=3) on curve. Join PF and PG
- (4) Bisect angle FPG by PS
- (5) Draw PT perpendicular to PS
- (6) Example : *** Click here 39 20
(a) Give h=1 k=1 a=3 b=2 & Enter (Note : 4 numbers separated by comma)
(b) Give X vale 4 and Press Enter
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