V Vertex Foci Aris Directre'x Latus Rectum => J Vertev Focus (x+3) ² = y-8 (-3,8) (-3, 33/4) : 2 qy² + 8x + 364 +60 = Directrix : Length of LR : ) 9 (y² + 4y + 4) = -8x=24 2 (y + ²)² = − & (x+³) 1 9 y² = − 4 (²7) X 20 xez y=8 = 12 ⇒ y = 3/³² 33 4 9 y- 8 = = = = ⇒ y = ³1 4 a=14 =윽 a= y=o => y = -2 (0,0) => (-2,-3) (4 (210) (-20 1-3) X = 12²/17 - +3=2²/₁² => x= ²² - 3 =² 2 K X+2=-²/1/724 X = -25 9 -20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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TRANSCRIBE THE FOLLOWING SOLUTION IN DIGITAL FORMAT

 

Vertex
x²+6x -y +17=0
x²76x + 9 =
Foci
Axis
Focus
y-8
(x+3) ² = y-8
Directrix =
Latus Rectum =>
Vertey :
:
(-3,8)
= (-3, 33/4)
=
J
2
ay + 8x + 364 +60 = 0
9 (y² + 4y + 4) = -8x-24
2
(y + ²)² = − ³² (x+³)
9
y² = − 4 (²/7) X
Y=o
(0,0)
Directrix
Length of LB :
xzy - 8 = 1 =
4
y - 8 = = = = = =
4
9
=> y = -2
(-2,-3)
(40 (2/10) = (-20 1-3)
x = 1²/17 -
27
9
a=1/4
0/10
=> y = 3/³²
33
a=
|--* K
x+3 = ²/²/² => x = ²
3
34
4
X+2=-2²/4/2
X =
-25
9
-20
Transcribed Image Text:Vertex x²+6x -y +17=0 x²76x + 9 = Foci Axis Focus y-8 (x+3) ² = y-8 Directrix = Latus Rectum => Vertey : : (-3,8) = (-3, 33/4) = J 2 ay + 8x + 364 +60 = 0 9 (y² + 4y + 4) = -8x-24 2 (y + ²)² = − ³² (x+³) 9 y² = − 4 (²/7) X Y=o (0,0) Directrix Length of LB : xzy - 8 = 1 = 4 y - 8 = = = = = = 4 9 => y = -2 (-2,-3) (40 (2/10) = (-20 1-3) x = 1²/17 - 27 9 a=1/4 0/10 => y = 3/³² 33 a= |--* K x+3 = ²/²/² => x = ² 3 34 4 X+2=-2²/4/2 X = -25 9 -20
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