Constructing Tangents and Normals in Parabolas

The video tutorial explains how to construct a parabola using the focus-directrix method. It begins with setting up the initial lines and points, followed by drawing the axis and marking intersections. The tutorial then demonstrates how to draw the parabola using arcs and concludes with constructing tangent and normal lines at a point on the parabola.

What is the distance between the focus and the directrix in the given problem?

• 30 mm

• 20 mm

• 50 mm

• 40 mm

In the initial steps, what is the first line drawn?

• Horizontal line

• Vertical line

• Diagonal line

• Curved line

How many equal parts is the line CF divided into?

• Five

• Four

• Three

• Two

What is the purpose of dividing the line CF into equal parts?

• To mark the tangent

• To draw the directrix

• To locate the vertex

• To find the focus

Where is the vertex V marked in relation to point F?

• Third division

• Second division

• Fourth division

• First division

What is the purpose of drawing arcs from points C1 and C2?

• To mark the focus

• To draw the axis

• To find the directrix

• To determine intersection points

Which line is used as the axis in the construction?

• Line CF

• Line AB

• Line QT

• Line VE

What is the final step in constructing the parabola?

• Drawing a smooth curve

• Drawing a normal

• Marking the vertex

• Drawing a tangent

What is the role of point Q in the parabola?

• It is the focus

• It is a point on the parabola

• It is the vertex

• It is the directrix

What angle is constructed at point F to find the tangent?

• 45 degrees

• 120 degrees

• 60 degrees

• 90 degrees