geometry

Consider the points A≡(0,1) and B≡(2,0) .let P be a point on the line 4x+3y+9=0.
coordinates of the point 'P' such that |PA-PB| is maximum, are ?

19 Answers

11
Subash ·

hasnt helped me much

1
? ·

naa actually A and B are points on the same side of the given line !

but problem is that i cant imagine the three points to be collinear !

and dude @bhargav, P is the point on the line ..not A and B !

1
mkagenius ·

i m still not getting

39
Dr.House ·

p is point under consideration. a and b are points on the line.

1
mkagenius ·

then ur locus will the path dat p travels...but its already on the line....how did u think dat ur hint will help...i m not getting?

1
mkagenius ·

@nishantbhaiya.com difference between lengths ...which lengths...pa and pb.......????

62
Lokesh Verma ·

great work priyam :)

1
rahul wadhwani ·

i think it should be minimum priyam has correct explained is the ans. correct

33
Abhishek Priyam ·

|PA-PB|≤AB

equality holds when PAB are collinear and P is outside AB...

33
Abhishek Priyam ·

(-24/5,17/5)

1
MAGIC MATH ROCKS ·

ONE WAY IS 2 DO IT MAXIMA BY WRITING THE DISTANCE FORMULA AND THEN SUBSTITUTING Y IN TERMS OF X FROM DA GIVEN EQN. OF LINE

62
Lokesh Verma ·

if difference of lengths is a constant then it is a hyperbola..

will this hint help?

11
Subash ·

wellll actually i mislooked the question

i was postig the answer for minimum distance

what first conditon

1
? ·

good magic math rocks ! .try at home ! [4]

subash .....shortcut ?........yar its a simple crap but the first condition is wat that enthrails me a lot [5]

answer is not important

1
MAGIC MATH ROCKS ·

u'll get the x-cordinate by differentiating the equation and equating to zero....

u can then get both the cordinates of the point 'P'

y did u say wat will u prove???
i dint get u....

hope now u get my point

11
Subash ·

is there any shortcut

1
? ·

subash [3]

nope !

11
Subash ·

maybe (-9/20,-12/5)

check my answer

1
? ·

so what are u goin to prove by doing that ?

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