Thomas Calculus 13th [Solutions]

Section 11.7 Conics in Polar Coordinates 849
11.7 CONICS IN POLAR COORDINATES
1.
2 2
2 y
2 2
16x 25y 400 x 1 c a b
25 16
c
25 16 3 e 3 ; F ( 3,0); directrices are
a 5
x 0 a 5 25
e 3 3
5
2
2.
2 2
2 y
2 2
7x 16 y 112 x 1 c a b
16 7
c
16 7 3 e 3 ; F( 3,0);
a 4
directrices are x 0 a 4
e 3
2
4
16
3
3.
2 2 2 y
2 2
2x y 2 x 1 c a b
2
2 1 1 c
e 1
a
; F(0, 1);
2
directrices are
y
2
2
0 a
2
e
1
2
4.
2 2
2 y
2 2
2x y 4 x 1 c a b
2 4
c 2
4 2 2 e ; F 0, 2 ;
a 2
directrices are y 0 a
e
2 2
2
2
2
2
5.
2 2
2 y
2 2
3x 2y 6 x 1 c a b
2 3
3 2 1 c
e 1
a
; F(0, 1);
3
directrices are y
2
3
0 a
3
e
1
3
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