Business Mathematics

18

Parabola

LEARNING OBJECTIVES

After studying this chapter, the student will be able to understand:

• Section of double cone by a plane

• The standard equation and parametric equation of a parabola

• Focus, diametric, latus rectum of a parabola

• Equation of a tangent at point {x,₁ y₁,) and f-point of a parabola

• Necessary and sufficient condition for a line y = mx + c (c = 0) to be a tangent to the parabola and the co-ordination of point of contact

• Properties of a parabola

INTRODUCTION

Conic section (Section of double cone by plane)

 

 

CONIC SECTION

Suppose / be a fixed line in a plane and s be a fixed point in the plane not on the line l. The ...