De todo

DETERMINAR TODOS LOS ELEMNTOS DE LA ELIPSE:
ELEMENTOS:
VV´= 2(a) =2(15.8)= 31.6
AA´= 2(b) = 2 (7.5) = 15
LR= 2 b²a = 2(57.5)15.8 = 7.2
e=ca = 13.815.8 = 0.8
X= k+ - ae = 15 + - 15.80.8
V(15+-15.8, 15)
A (15, 15+ - 7.5)
F (15+ - 13.8, 15)
C (15, 15)
X² + 4y² - 10x – 40y + 109 = 0.
X² + 4y² - 10x – 40y + 109 = 0.
1(x² - 10x +25) + 4 (y² - 10y + 25) = 109 + 25 + 96(1(X²-15)²+ 4 (y² - 15)² = 230) / 230
(x-15)²230 + (y-15)²57.5 = 1 (x-h)²a² + (y-k)²b² = 1
a²= 250 a=15.8
b²= 57.5 b=7.5
c²= √a² - b² = √250 – 57.5 = √192.5 = 13.8
Y

A = 15, 22.5F
F
V´= .8, 15
V = 30.8, 15

A´= 15, 7.5

X
5 10 15 20 25 30 35




ENCONTRAR LA ECUACION DE LA ELIPSE DE:
V (2, 6)V´ (2, -2) Y DE LR =2
Y
V (2, 6) D1 = 6.2
F (2, 5.8)


A´ (1, 2) A (3, 2)
X
F (2, 1.8)D2 = 2.2
V`(2, -2)


a² = 16 a = 4
b² = 1
c² = √a² - b² = √16 – 1 = √15 = 3.8
ELEMENTOS:
LR= 2 b²a = 2
(x-k)²b² - (y-h)²a² = 1e=ca = 3.84 = 0.95
y= k+ - ae = 2 + - 40.95
D1 = 6.2 D2 = 2.2
(x-2)²1 – (y-2)²16 = 1

A (2+- 1, 2)
16x² - y² + 4y – 12 = 0
Ecuación de la elipse
F (2, 2+- 3.8)
C (2, 2)DETERMINAR TODOS LOS ELEMENTOS DE LA HIPERBOLA:
ELEMENTOS:
VV´= 2(a) =2(3)=6u
AA´= 2(b) = 2 (4) = 8u
LR= 2 b²a = 2(16)3 = 10.66
e=ca = 53 = 1.6
X= + - ae = + - 31.6 = 1.8
V (0, +-3)A (+-4, 0)
F (0, +-5)
C (0, 0)

Y²9 - X²16 = 1
Y²9 - X²16 = 1
a²= 9 a= 3
b²= 16 b= 4
c²=√ a² + b² = √9 + 16= √25 = 5

YX










ENCONTRAR LA ECUACION DE LA HIPERNOLA DE:
V (2, 9) V´ (2, 3) Y PASA POR LAS COORDENADAS (0, 0)
Y V (2, 9)

A´ (0, 6) A (4, 6)...