# Parabola

## Parabola Examples

Here you will learn some parabola examples for better understanding of parabola concepts. Example 1 : The length of latus rectum of a parabola, whose focus is (2, 3) and directrix is the line x – 4y + 3 = 0 is – Solution : The length of latus rectum = 2 x perp. from …

## Different Types of Parabola Equations

Here, you will learn Different Types of Parabola and Standard equations of parabola, focal chord, double ordinate and latus rectum of parabola. Let’s begin – What is Parabola ? A parabola is the locus of a point which moves in a plane, such that its distance from a fixed point(focus) is equal to its perpendicular …

## Formulas for Conic Sections – Equations & Concepts

Here, you will learn general equation and formulas for conic sections and formula to distinguish between conic. Conic Sections A conic section, or conic is the locus of a point which moves in a plane so that its distance from a fixed point is in a constant ratio to its perpendicular distance from a fixed …

## Equation of Normal to Parabola in all Forms

The equation of normal to parabola in point form, slope form and parametric form are given below with examples. Equation of Normal to Parabola $$y^2 = 4ax$$ (a) Point form : The equation of normal to the given parabola at its point ($$x_1, y_1$$) is y – $$y_1$$ = $$-y_1\over 2a$$(x – $$x_1$$) Example : …

## Equation of Tangent to Parabola in all Forms

The equation of tangent to parabola in point form, slope form and parametric form are given below with examples. Condition of Tangency : (a)  The line y = mx + c meets the parabola $$y^2$$ = 4ax in two points real, coincident or imaginary according as a >=< cm $$\implies$$ condition of tangency is,  Condition …

## Graph of a Parabola – Types of Parabolas

A parabola is locus of a point which moves in a plane, such that its distance from a fixed point called focus is equal to its perpendicular distance from a fixed straight line called directrix. Graph of a Parabola and their types are shown below. Basic Concepts of a Parabola (a) Focal distance : The …