Tangent And Normal In Conic Section

Tangent And Normal Part I

Tangent & Normal In Ellipse, Parabola, and Hyperbola.

ELLIPSE TANGENT AND NORMAL...

1 ] Draw tangent and normal to the curve from a given point ( Q ).

 Steps:

1. Join the point Q to F1 & F2.


2. Bisect angel F1QF2, the angel bisector is normal.


3. A perpendicular line drawn to it is tangent to the curve.

2 ] Draw tangent and normal to the curve from a given point ( Q ).

 Steps:

1. Joint point Q to F.


2. Construct a 90º angle with this line at point F.


3. Extend the line to meet the directrix at T.


4. Join this point to Q and Extend, this is tangent to ellipse from Q.


5. To this tangent draw perpendicular line from Q, It is normal to the curve.

PARABOLA TANGENT AND NORMAL...

1 ] Draw tangent and normal to the curve from a given point ( Q ).

 Steps:

1. Joint point Q to F.


2. Construct a 90º angle with this line at point F.


3. Extend the line to meet the directrix at T.


4. Join this point to Q and Extend, this is tangent to ellipse from Q.


5. To this tangent draw perpendicular line from Q, It is normal to the curve.

HYPERBOLA TANGENT AND NORMAL...

1 ] Draw tangent and normal to the curve from a given point ( Q ).

 Steps:

1. Joint point Q to F.


2. Construct a 90º angle with this line at point F.


3. Extend the line to meet the directrix at T.


4. Join this point to Q and Extend, this is tangent to ellipse from Q.


5. To this tangent draw perpendicular line from Q, It is normal to the curve.

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