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688-689 θ m m a + = x y 689 m m θ a a aa + - = x y - = x y a a a What you should learn What you should learn

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Page 1: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

688−689

θ m

m a

+= xy

689

m m

θ a a a a

+−= xy

−= xy

a aa

What you should learn

What you should learn

Page 2: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

Chapter 10 Topics in Analytic Geometry

690−691

x y Ax By C

d aa aa a a a

xy −=

What you should learn

Page 3: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

a a

What you should learn

What you should learn

Page 4: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

h k y k p

a a a a a a

h k x h p

a a a a a a

p

a aa a a aa a

a a

P

a

What you should learn

Page 5: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

a a

h k

a

b b a a a a a a a

h k

a

b b a a a a a a a

c

c a a

a a a a

a a a a

yx

What you should learn

Page 6: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

e a a

e

e

What you should learn

What you should learn

Page 7: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

a a

h k

a a a a a a

h k

a a a a a a

a c

a b c

a a a

a a a a

a a a a

a aa a a

What you should learn

Page 8: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

a a a a a a

a a a a a a

− xy

e a a

e

FEyDxCyAx

a a

aa

aa

aa

−− yxyx

What you should learn

What you should learn

What you should learn

Page 9: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

xy

x y

aa

x

y

FEyDxCyBxyAx

′′′′′′′′′ FyExDyCxA

θ

θ a a a

x a a a a

y a a a a

a

a aa

aa aaa aa aa aa a

What you should learn

xy

Page 10: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

θ

FEyDxCyBxyAx

′′′′′′′′′ FyExDyCxA

a a

a a a a

a aa a a a

FEyDxCyBxyAx

a aa

a aa

a aa

−− yyxyx

What you should learn

Page 11: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

f g t I

f t g t C

tfx y g t

C t

aa

x y

a

t

−tx ty ≤≤− t

What you should learn

What you should learn

Page 12: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

a a

aa

a a a a

What you should learn

What you should learn

Page 13: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

O

O

P

r a a

θ

a a

r θ

a a aa a a a a

n

θ θ

r θ − π

π

What you should learn

π

π

π

Page 14: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

r θ

x y

a a a a a a

a a a a a a

π

a a a a a a

θ

−r

a

What you should learn

What you should learn

π

π

π

π

π

π

π

π

π

Page 15: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

θ

θ π

θ−

π

π

π

Page 16: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

θ

π

π

π

π

π

π

π

π

π

π

π

π

π

π

π

π

π

π

Page 17: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

e a

a a

a aa a

e p

a aa a a

e p

a aa a a

e

p

Page 18: HILQH HDFK WHUP RU FRQFHSW RI D QRQKRUL]RQWDO OLQH …collinmath.org/Checklists/Precalculus/Chapter_10-checklist.pdf · 7dqjhqw d dddd dd ddddddd dd d dddddddd dd d ddddd dd ddd

a aa a a

e

p

θ+

=r

π

π

π

π

π

π

π

π

π

π

π

π

π

π

π

π

π

π