Results 1 to 3 of 3

Math Help - tangents.--missed this lesson

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    1

    Exclamation tangents.urgent!!!!!!!!

    O is the centre of a circle. P is a point on its circumference. the gradiant of OP is 2. what is the gradient of tangent P.

    can i also please have an explanation
    Last edited by sallyishyper; October 22nd 2008 at 08:09 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,552
    Thanks
    542
    Hello, sallyishyper!

    O is the centre of a circle. P is a point on its circumference.
    The gradient of OP is 2.
    What is the gradient of the tangent at P.

    We are expected to know this theorem:
    The tangent to a circle is perpendicular to the radius to the point of tangency.


    If the gradient of the radius is 2, then the gradient of the tangent is __ ?

    Follow Math Help Forum on Facebook and Google+

  3. #3
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    11
    Awards
    1
    Quote Originally Posted by sallyishyper View Post
    O is the centre of a circle. P is a point on its circumference. the gradiant of OP is 2. what is the gradient of tangent P
    A radius (OP) is perpendicular to the tangent line at the point of tangency (P). The slope (gradient) of perpendiculars are negative reciprocals of each other. Since the radius has gradient = 2, the gradient of the tangent line is -1/2.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. YouTube lesson about precalculus wrong?
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 8th 2009, 05:11 PM
  2. Great Trig Lesson with Humour!
    Posted in the Trigonometry Forum
    Replies: 6
    Last Post: March 13th 2008, 06:35 AM
  3. Help with Logic lesson
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: January 15th 2008, 07:09 AM
  4. CENTRE OF CIRCLE: missed lesson plz help
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: November 11th 2007, 03:10 PM
  5. [SOLVED] Online Maths Lesson
    Posted in the Math Forum
    Replies: 3
    Last Post: September 29th 2007, 07:38 PM

Search Tags


/mathhelpforum @mathhelpforum