Conics & Parameters3) Hyperbola y

x

yxP ,

Conics & Parameters3) Hyperbola y

x

yxP ,

222 ayx

Conics & Parameters3) Hyperbola y

x

yxP ,

y222 ayx

Conics & Parameters3) Hyperbola y

x

a

yxP ,

x

y222 ayx

Conics & Parameters3) Hyperbola

secax

secax

y

x

a

yxP ,

x

y222 ayx

Conics & Parameters3) Hyperbola

secax

secax

1sec ,secwhen 2

2

2

22

by

aaax

y

x

a

yxP ,

x

y222 ayx

Conics & Parameters3) Hyperbola

secax

secax

1sec ,secwhen 2

2

2

22

by

aaax

y

x

a

yxP ,

x

y222 ayx

tantan

1sec

222

22

2

byby

by

Conics & Parameters3) Hyperbola

secax

secax tanby

1sec ,secwhen 2

2

2

22

by

aaax

y

x

a

yxP ,

x

y222 ayx

tantan

1sec

222

22

2

byby

by

For hyperbola 12

2

2

2

by

ax

For hyperbola 12

2

2

2

by

ax

11,at tangent yx

121

21

byy

axx

For hyperbola 12

2

2

2

by

ax

11,at tangent yx

121

21

byy

axx

11,at normal yx

22

1

2

1

2

bay

ybx

xa

For hyperbola 12

2

2

2

by

ax

11,at tangent yx

121

21

byy

axx

11,at normal yx

22

1

2

1

2

bay

ybx

xa

tan,secat tangent ba

1tansec

by

ax

For hyperbola 12

2

2

2

by

ax

11,at tangent yx

121

21

byy

axx

11,at normal yx

22

1

2

1

2

bay

ybx

xa

tan,secat tangent ba tan,secat normal ba

1tansec

by

ax 22

tansecbabyax

For hyperbola 12

2

2

2

by

ax

11,at tangent yx

121

21

byy

axx

11,at normal yx

22

1

2

1

2

bay

ybx

xa

tan,secat tangent ba tan,secat normal ba

1tansec

by

ax 22

tansecbabyax

xfy sec

xfxfxfdxdy tansec

xfy tan

xfxfdxdy 2sec

For hyperbola 12

2

2

2

by

ax

11,at tangent yx

121

21

byy

axx

11,at normal yx

22

1

2

1

2

bay

ybx

xa

tan,secat tangent ba tan,secat normal ba

1tansec

by

ax 22

tansecbabyax

xfy sec

xfxfxfdxdy tansec

xfy tan

xfxfdxdy 2sec

Exercise 6C; 5, 7, 9, 16, 17