Minimizes the sum of the two distance, Mathematics

Assignment Help:

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).


Related Discussions:- Minimizes the sum of the two distance

Integration variable, Integration variable : The next topic which we have ...

Integration variable : The next topic which we have to discuss here is the integration variable utilized in the integral. In fact there isn't actually a lot to discuss here other

What are inclusive events, Q. What are Inclusive Events? Ans. Even...

Q. What are Inclusive Events? Ans. Events that can occur at the same time are called inclusive events. For example, a student can belong to more than one club at one time

Ordinary and partial differential equations, A differential equation is ter...

A differential equation is termed as an ordinary differential equation, abbreviated through odes, if this has ordinary derivatives in it. Similarly, a differential equation is term

Denote the statement in predicate calculus, Denote the subsequent statement...

Denote the subsequent statement in predicate calculus: "Everybody respects all the selfless leaders". Ans: For each X, if every Y that is a person respects X, then X is a selfl

Matrix, find the value of x for which [1 0] [0 x-8]

find the value of x for which [1 0] [0 x-8]

Trig, cot functions

cot functions

Solid mensuration, a circle is circumscribed about an equilateral triangle ...

a circle is circumscribed about an equilateral triangle whose side is 3 cm. find the area of the circle.

Profit maximization, a medical clinic performs three types of medical tests...

a medical clinic performs three types of medical tests that use the same machines. Tests A, B,and C take 15 minutes, 30 minutes and 1 hours respectively, with respective profits of

Find the height of the tower, The angle of elevation of the top of a tower ...

The angle of elevation of the top of a tower standing on a horizontal plane from a point A is α .After walking a distance d towards the foot of the tower the angle of elevation is

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd