Question 883631: The ednpoint of a diameter of a circle is (-1,6). If the center is at (2,-1), find the other endpoint of the diameter passing through (-1,6)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! Find the radius using Distance Formula for points (-1,6) and the center(2,-1)....
There is an alternative. The center and the given endpoint form a line. The other endpoint is a point on this line. Now, using Distance formula, and knowing the equation of this line, you are looking for the point this way:
D, (-1,6) to (2,-1) SAME AS D, (x,y) to (2,-1).
 ---actually this is just the equation of the circle.
The line containing given endpoint and circle center:
y=mx+b
b=y-mx
-
 .
WHAT NEXT TO DO?
Substitute for y in the circle equation, simplify, and solve for x. You will get two values. The one you are looking for is the solution OTHER THAN x=-1. Now, use it to find y.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! The ednpoint of a diameter of a circle is (-1,6). If the center is at (2,-1), find the other endpoint of the diameter passing through (-1,6)
Use the midpoint formula: ( , ), equating each coordinate to the midpoint coordinates to determine
the other endpoint. Remember that you're trying to find  and  .
Then do a check!!
If you need a complete and detailed solution, let me know!!
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.
For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL
MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,
GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.
|
|
|
