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1.a
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x = 4cos t , y = 4sin t |
b
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x = cos t, y = sin t |
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c
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x = 3cos t − 3, y = 3sin t − 4 |
d
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x = 10cos t + 1, y = 10sin t + 2 |
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e
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x = 5cos t , y = 5sin t + 5 |
f
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x = 9cos t + 6 , y = 9sin t |
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2. a
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x = 3t2 , y = 6t |
b
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x = 10t2 , y = 20t |
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c
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x = 2t2 , y = 4t + 5 |
d
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x = 3t2 , y = 6t − 2 |
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e
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x = t2 + 1 , y = 2t + 1 |
f
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x = 2t2 + 2 , y = 4t − 1 |
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3. a
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x = 4cos t , y = 5sin t |
b
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x = 3 sec t , y = 2tan t |
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c
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x = 3cos t − 3 , y = 2sin t − 2 |
d
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x = 5sec t − 3 , y = 4tan t + 1 |
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4. a
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 |
b
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 |
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c
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(x + 5)2 + (y + 3)2 = 1 |
d
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 |
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e
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16x2 + 25y2 = 1 |
f
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 |
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5. a
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-cot t |
b
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1 / t |
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c
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-5cot t / 4 |
d
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4/5 cosec t |
6. y = 4(x + 3)2
7. y = 2x − 1
8. a. 
b. 
c. 
= -0.693
9. a. xy = -2
b. Gradient = 72
c. Curve is discontinuous at t = 0
10. x = 7sec θ and y = 10tan θ
