0

Guest

Courses New

A property is given in my book which states that "if the tangent and normal at any point P of parabola meets the axes at T and G ,then ST=SG=SP" please tell what is S here

A property is given in my book which states that "if the tangent and normal at any point P of parabola meets the axes at T and G ,then ST=SG=SP" please tell what is S here

Grade:12th pass

1 Answers

Vinay Mehta
13 Points
4 years ago
S is the focus of parabola. Hope u get it now,how they are equal.Therefore
The equation of tangent is yt=x+at^2 it cuts the x axis at -at^2 Therefore ST= a+at^2 similarly SG= a+at^2 and SP equals to perpendicular dist of point P from directrix SP= a+at^2.
Finally ST=SP=SG

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View all Questions »

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More