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# Parabola

Parabola can be defined as the conic section created by Intersection of a plane which is parallel to the generator line of surface and a Right Circular Cone. The other definition of parabola: A Plane Curve obtained by the moving a Point which is at fixed distance from a fixed point and also equals to the distance form a fixed line is known as parabola. Now we will see how to draw a parabola.

For drawing parabola we need to follow some steps which are given below:
Step 1: First we take a ‘diretrix’ or a Line Segment.

Step 2: Then we draw focal point named as ‘F’.

Step 3: If we want the vertex then we bisect the distance between line P and focal point ‘F’.

Step 4: Then we draw vertical lines of any distance and name them A, B, C, D, E.

Step 5: Then we measure the distance from Line Segment ‘P’ to the point ‘A’.

Step 6: Then we measure the distance from line segment to the point ‘B’ and repeat the same procedure till the last point.

Step 7: We draw the point from the line segment.

Step 8: At last we join all the points and we get parabola.

Now we will see the general form of parabola:
The general form is:
=> (αp + βq)2 + γp + δq + ∈= 0;
This above equation is obtained from the general conic equation which is given below:
=> Ap2+ Bpq + Cq2 + Dp + Eq + F = 0;
And the equations for a general form of parabola maths with the focus point F(s, t) and a directrix in the form:
=> pa + qy + c = 0;
Is
=> (pa + qy + c)2 = (p - s)2 + (q - t)2
P2 + q2
This is the equation of parabola in maths.

## Directrix of Parabola

Equation such as y = ax2 or x = by2 represent a Parabola. Graph will incline towards higher power variable. Parabola can be defined as the Set of all those points in a plane which are at away by same distance from a fixed Point and fixed line. This fixed point, in this case, is known as the focus (F)and fixed line (L) is called directrix of parabola. Line 'L' in pl...Read More

## Parabola Vertex

Word Parabola was discovered by 'Apollonius', while he was studying conic sections. Parabola is a part of conic section which defines concept of Geometry. It can also be defined as fixed points which are equidistant from fixed Point in the plane in which it is drawn. Fixed line on a plane in which we draw a parabola is called as directrix and fixed point in the plane is ...Read More

## Equation of Parabola

If the Intersection of a Right Circular Cone and a plane that is also parallel to an element of the cone and the locus points of cone is equidistance from a fixed Point then we get a Plane Curve and that curve is said to be a Parabola. And in other words we can say that in mathematical Geometry a parabola is a curve that is obtained by rounding a point which is posi...Read More