Sunday

September 21, 2014

September 21, 2014

Posted by **Kole** on Tuesday, October 2, 2012 at 2:12am.

slopes of secant lines show that \ABC is a right angle. You can assume the circle is centered at the

origin.

- Math -
**Steve**, Tuesday, October 2, 2012 at 10:39amwe can without loss of generality assume the radius is 1, and the diameter is on the x-axis. the coordinates of B are (cosθ,sinθ).

slope of AB = sinθ/(1+cosθ)

slope of CB = -sinθ/(1-cosθ)

product of slopes: -sin^2 θ/(1-cos^2 θ) = -1

so, the lines are perpendicular.

- Math -
**Gsidthekid**, Thursday, October 4, 2012 at 12:09amSteve your a boss for asking this question, you just saved me 2 hours of my life trying to figure it out, YEEEE

- Math -
**Gsidthekid**, Thursday, October 4, 2012 at 12:10amKole*

**Answer this Question**

**Related Questions**

math - A diameter of circle that has endpoints (-4,12) and (8,-2), as shown ...

Math - The points (4, –5) and (– 4, 1) are endpoints of a diameter of a circle...

summer math hw - one circle has a diameter of 10 inches. a second circle has a ...

Geometry - Prove that the tangents to a circle at the endpoints of a diameter ...

Geometry - Within an orthonormal system consider points A(1,4) B(5,1) C(4,8) (a)...

Math - Triangle ABC is inscribed in a circle such that A and B are the endpoints...

Calculus - Points (–1, 6) and (–3, 2) are endpoints of the diameter of a circle...

math - show that x(-4,-3) and y(4,3) are endpoints of a diameter of the circle x...

Math - The points (4, –5) and (– 4, 1) are endpoints of a diameter of a circle. ...

math - The endpoints of the diameter of a circle are A(-1,1) and B(0.5,-3). ...