chapter 7 answers edxcel fp2 textbook
TRANSCRIPT
1
Answers to Chapter 7
Exercise 7A 1 a (13, 67.4°) b (13, 112.6°) c (13, 112.6°) d ( √
___ 13 , 56.3°)
e (2, 30°) 2 a (3 √
__ 3 , 3) b (3 √
__ 3 , 3)
c (3 √__ 2 , 3 √
__ 2 ) d (5 √
__ 2 , 5 √
__ 2 )
e (2, 0)
Exercise 7B 1 a x2 y2 4 b x 3 c y 5
2 a x2 4ay or y x2 ___
4a
b x2 y2 2ax or (x a)2 y2 a2
c x2 y2 3ay or x2 ( y 3a ___ 2 ) 2 9a2
___ 4
3 a (x2 y2 ) 3 _ 2 8y2 b (x2 y2 )
3 _ 2 2x2
c x2 1 or x 1 4 a r 4 b r2 8 cosec 2
c r2 sin 2
5 a r 2 cos b r2 4 _________ 1 sin 2
c r 3 ___ √
__ 2 sec ( __
4 )
6 a arctan 2 b r a __ 2 cosec ( __
3 )
c r tan sec a sec
Exercise 7C 1 a
Circle radius 66
b
Half-line(half of y � x)
5π4
c
Half-line(half of y � �x)π
4
2 a
2
line x � 2
x
y
b
3 y � 3
x
y
c
4 x
y
4 3
3 a
Circle centre (0, ) radius
x
y
a2
a2
a2
b
θ � 0
a
2a
a
c
θ � 0
π6
π6
5π6
3π2
7π6
π2
θ �
θ � �
θ �
Answers to Chapter 7
2
ANSWERS
4 a
θ � 0
2a
3a
2a
a
b
θ � 0
6a
7a
6a
5a
c
θ � 0
4a
7aa
5 a
θ � 0
3a
2a 2a
a
b
θ � 0
7a
5a
6a 6a
c
θ � 0
7a
4c 4a
a
6 a
θ � 0
π
2π
2π
4π
b
θ � 0
a
c
θ � 0
Exercise 7D
1 a2 ____
8 2 3a2
_____ 4
3 ( 2)a2
_________ 48
4 a2 __
4
5 a2 ln √
__ 2 _______
2 or a
2 ln 2 ______ 4 6 2a23
_____ 3
7 a2 __
4 (11 24) 8
a2 (2p2 q2) ____________
2
9 a2 ____
12 10 a
2 __
4 [ __
4 3 √
__ 3 ____
16 ]
11 5 ___ 4
Exercise 7E
1 (2a, 0) and ( a __ 2 , 2 ___
3 ) , ( a __
2 , 2 _____
3 )
2 a (9.15, 1.11) b (212, 2.68)
3 a ( 2a ___ 3 , 0.421 ) b r a √
__ 6 ____
9 cosec
4 ( 7 1 _ 2 a, 1.32 ) 5 r cos 3 r cos 1 r 3 sec r sec
6 ( 2a, __ 4 )
Mixed exercise 7F
1 9a2 _____
8
2 cos √
__ 5 1 _______ 2
ANSWERS
3
3
θ � 0
θ � π3
R2
R1P
3a2a
5 ___ 4
4 ( a √___
√
__ 3 ___
2 , __
6 ) and ( 0, __
2 )
5 a
θ � 0
θ � π4
θ � � π4
4
b 2
6
θ � 02a
a
a
(2a, ) 7 a
θ � 0
�
π4
π4
π12
r � 2 cos � θ
b __ 6
√__ 3 ___
8
8 a
θ � 0
r � 4 cos θ
22
24
x � 2
b ( 2 √__ 2 , __
4 ) ( 2 √
__ 2 , __
4 )
9 a ( 3 __ 2 a, __
3 ) b 5 ___
8 a2
10 a y2 x2 1 b y 1 ___ 2x