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polar coordinate

Total questions: 14

Worksheet time: 28mins

Name
Class
Date
1.
How do you write an ordered pair?
a)
(X,X)
b)
(θ, r)
c)
(r,θ)
d)
(Y,Y)
2.
Which point represents (3, 3π/4)?
a)
F
b)
E
c)
B
d)
A
3.
Which point represents (-4, 4π/3)
a)
F
b)
E
c)
B
d)
A
4.
Which point represents the polar coordinate
(-4, -2π/3)?
a)
B
b)
F
c)
D
d)
A
5.
Which point represents (-4, π/2)
a)
D
b)
C
c)
B
d)
A
6.
Convert the rectangular coordinates to polar form
a)
(√2 , 7π/4)
b)
(2 , 3π/4)
c)
(4 , π/4)
d)
(4 , 5π/4)
7.
Convert the polar coordinates to rectangular form
a)
(1, 1)
b)
(1, -1) 
c)
(-1, 0)
d)
(-1, -1)
8.
Convert the polar coordinates to rectangular form.
(6, 2π/3)
a)
( -3, 3)
b)
(3, 3√3)
c)
(-3, 3√3)
d)
(3, -3√3)
9.
Find the polar coordinates of the rectangular point. (0,3)
a)
(3,π)
b)
(3,0)
c)
(3,π/2)
d)
(3,-3π/2)
10.
Convert from rectangular to polar coordinates. (-4, 4)
a)
(4√2, π/4)
b)
(4√2, 3π/4)
c)
(4√2, -π/4)
d)
(-4√2, -7π/4)
11.

Convert to polar form: x = 3

a)

r=3r=3

b)

rcosθ=3r\cos\theta=3

c)

rsinθ=3r\sin\theta=3

d)

cosθ=3\cos\theta=3

12.

Convert to polar form:   x2+y24x=0x^2+y^2-4x=0  

a)

 rsin2θ=4cosθr\sin^2\theta=4\cos\theta  

b)

 rcos2θ=4sinθr\cos^2\theta=4\sin\theta  

c)

 r=4cosθr=4\cos\theta  

d)

 r=4sinθr=4\sin\theta  

13.

Determine the eccentricity,Conic type and equation of Directrix

 r=204+4sinθr=\frac{20}{4+4\sin\theta}   

4 lines
14.

 r=213cosθ+1r=\frac{21}{3\cos\theta+1}  

Determine the eccentricity,Conic type and equation of Directrix

4 lines