Draw a horizontal line as shown

Construct an ellipse when the distance of the focus from its Directrix is equal to 50mm and eccentricity is 2/3.Also draw z tangent and a normal to the ellipse

Draw a vertical line line as shown(Directrix)

Mark the point as o as shown

o

50

Mark a point 50mm from vertical line on horizontal line as shown

o

50

Name the point as F(Focus) as shown

Fo

F

2030

Mark a point on horizontal line 20 mm from F as shown

o

F

2030

Name the point as v as shown

Vo

FV

Draw a line at V equal to VF as shown

o

FV

1

o

Mark the point as 1 as shown

FV

1

o

JOIN O1 and extend as shown

450FV

1

o

Draw a line 450 to horizontal line from F and mark point P when it cuts the extended line of O1

P

FV

1

o

PDraw a vertical line from F and mark the point 2 as shown

2

FV

1

o

P

2

Draw a vertical line from Point P to the horizontal line as shown and mark the point as e

e

FV

1

o

P

2

e

Draw a bisector line for V e as shown and mark the point as M and N as shown

M

N

= =

FV

1

o

P

2

eM

N

3

Mark point 3 such that MN=F3

FV

1

P

2

eM

N

3

Join V23 by smooth curve as shown

o

FV

1

P

2

eM

N

3

Draw mirror image of the curve as shown

o

FV

1

P

2

eM

N

3

Draw mirror image of the curve as shown

o

DAW LINES AS SHOWN as shown

FV

1

P

2

eM

N

3

o

FV

1

P

2

eM

N

3

Mark the Points as shown

o

FV

1

P

2

eM

N

3

o

Locate a point s as per given dimension to draw tangent and normal as shown

s

FV

1

P

2

eM

N

3

o

s

Join F S as shown

FV

1

P

2

eM

N

3

o

s

Draw a line QF perpendicular to FS as shown

Q

FV

1

P

2

eM

N

3

o

s

Draw a line QQ’ Joining QS as shown

Q

Q’

FV

1

P

2

eM

N

3

o

sDraw a line NN’ Through S perpendicular to QQ’ as shown

Q

Q’

N’

N

FV

1

P

2

eM

N

3

o

sQ

Q’

N’

N

Ellipse

NormalTangent