Sign Up

Sign Up to our MetaHub questions and Answers Engine to ask questions, answer members' questions, and connect with other teachers & members.

Have an account? Sign In


Have an account? Sign In Now

Sign In

Login to our META-HUB questions & Answers Forum

Sign Up Here


Forgot Password?

Don't have account, Sign Up Here

Forgot Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.


Have an account? Sign In Now

Sorry, you do not have permission to ask a question, You must login to ask a question.


Forgot Password?

Need An Account, Sign Up Here

Please briefly explain why you feel this question should be reported.

Please briefly explain why you feel this answer should be reported.

Please briefly explain why you feel this user should be reported.

Sign InSign Up

META-HUB

META-HUB Logo META-HUB Logo

META-HUB Navigation

  • Forum
  • About Us
  • Contact Us
    • Support Us
    • Sponsoring Partners
Search
Ask A Question

Mobile menu

Close
Ask a Question
  • Categories
  • Groups page
  • Badges
  • Users
  • Help
  • Forum
  • About Us
  • Contact Us
    • Support Us
    • Sponsoring Partners
Home/ Questions/Q 1526
Next
In Process

META-HUB Latest Questions

Janaka Rodrigo
  • 2
Janaka RodrigoLevel 2
Asked: February 24, 20232023-02-24T11:23:16+05:30 2023-02-24T11:23:16+05:30In: Geometry ( ජ්‍යාමිතිය )

Equation of the tangent line

  • 2

In general can you use the standard form y – β = m(x –  α)  of a straight line of gradient m , going through a point (α,β) in the case of finding equation of a tangent line drawn to a circle through a given point (α,β). What happens if one of the tangent lines is vertical and what is your suggestion to cover all situations?

question
  • 1 1 Answer
  • 38 Views
  • 0 Followers
  • 0
Answer
  • Report

1 Answer

  • Voted
  • Oldest
  • Recent
  • Random
  1. Janaka Rodrigo
    Janaka Rodrigo Level 2 English medium advanced level mathematics teacher at St Benedicts College Colombo 13
    2023-02-28T20:27:19+05:30Added an answer on February 28, 2023 at 8:27 pm

    Consider the circle given by the equation,          x² +y² -2x – 4y – 4 = 0 , if you want to find equations of  tangents drawn to the circle through the point ( 4, 0 ) usual method is to write it as y = m( x – 4) but using this you can find only one value for m that is  5/12 because one tangent is vertical. Now you can use the form b ( y- β ) = a (x – α ) , that gives equation of the tangent in this case as,  by = a ( x – 4)  and when you use the condition of radius of the circle is equal to perpendicular distance from centre of the circle to the tangent line gives,      b ( 12a – 5b ) = 0  that is b =0 or a/b = 5/12 , here you can find both equations as x =4 and y = 5/12( x – 4).

    • 1
      • Report

You must login to add an answer.


Forgot Password?

Need An Account, Sign Up Here

Sidebar

Ask A Question

Stats

  • Questions 74
  • Answers 94
  • Best Answers 4
  • Users 711
  • Popular
  • Answers
  • meta-hub-user2

    ප්‍රති අවකලයට අනන්තය ආදේශ කල හැකිද?

    • 5 Answers
  • Jp

    සංකීර්ණ සංඛයා සමිබන්දව

    • 5 Answers
  • Ujala123

    Functions

    • 5 Answers
  • හිරාන්
    හිරාන් added an answer කොටු දැල =12/46 රුක් සටහන= 12/49 සිද්දියෙ අවස්තා ගාණ පමණක්… December 15, 2024 at 12:12 pm
  • Bourbaki
    Bourbaki added an answer Monty hall type එකේ ප්‍රශ්න ගැන පොඩ්ඩක් හොයල බලුවොත් idea… November 9, 2024 at 12:29 am
  • Bourbaki
    Bourbaki added an answer November 4, 2024 at 7:00 pm

Related Questions

  • සරල රේඛාවක සමීකරණය

    • 2 Answers
  • Geometrical approach to evaluate the sum of infinite number of ...

    • 1 Answer
  • Paradoxes

    • 0 Answers
  • Conjectures

    • 0 Answers
  • Axioms

    • 0 Answers

Top Members

Gaya Nayomi

Gaya Nayomi

  • 0 Questions
  • 1k Points
Level 1 ( Top Rated )
Shelton

Shelton

  • 0 Questions
  • 1k Points
Level 1 ( Top Rated )
Janaka Rodrigo

Janaka Rodrigo

  • 22 Questions
  • 230 Points
Level 2

Trending Tags

complex numbers infinite value infinity not defined poll probability pure maths q quadratic question questions zero බිංදුවෙහි බිංදුව වෙනි බලය පිලිබද ඔබගේ අදහස කුමක්ද? සංකල්පීය වශයෙන් ඇත්ටම අර්ථ දැක්විය නොහැකිද? නැත්නම් පිළිතුර 1 වේද?

Explore

  • Categories
  • Groups page
  • Badges
  • Users
  • Help

Footer

META-HUB

Mathematics Education Teacher Awareness Hub (META Hub) is a web-based platform that connects Mathematics teachers in Sri Lanka with the field of Mathematics Education

About Us

  • Meet The Team
  • Blog
  • About Us
  • Contact Us

Legal Stuff

  • Terms of Use
  • Privacy Policy
  • Cookie Policy

Help

  • Knowledge Base
  • Support

© 2023 MetaHub. All Rights Reserved.
Web Solutions by CYBEGEN