Minimizes the sum of the two distance, Mathematics

The value of y that minimizes the sum of the two distances from (3,5) to (1,y) and from (1,y) to (4,9) can be written as a/b where a and b are coprime positive integers. Find a+b.

Solution) The minimum distance of the points from (1,y) is the distance from the intersection of their perpendicular bisectors to the line x=1
hence slope of perpendicular bisector=> -4=2y-14 / 2x -7
                                                           => 8x + 2y = 42.

                                                         putting x=1,y=17,
                                                         hence a+b= 17 +1 =18 (ANS).

Posted Date: 3/29/2013 5:19:51 AM | Location : United States







Related Discussions:- Minimizes the sum of the two distance, Assignment Help, Ask Question on Minimizes the sum of the two distance, Get Answer, Expert's Help, Minimizes the sum of the two distance Discussions

Write discussion on Minimizes the sum of the two distance
Your posts are moderated
Related Questions

Derivatives of Inverse Trig Functions : Now, we will look at the derivatives of the inverse trig functions. To derive the derivatives of inverse trig functions we'll required t

Under this section we're going to go back and revisit the concept of modeling only now we're going to look at this in light of the fact as we now understand how to solve systems of

who discoverd unitary method

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

Solution by Factorization, please solve quadratic equations by Factorization.

to use newspaperto study and report on shares and dividend

Describe differance between Mean vs. Mode ? Every set of numbers or data has a mean and a mode value. The mean is the average value of all the numbers in the set. The mode is t

Parametric objective-function problems

Example of Integration by Parts - Integration techniques Illustration1:  Evaluate the following integral. ∫ xe 6x dx Solution : Thus, on some level, the difficulty