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Director
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If m = 3x + 4y for x, y > 0. Find the minimum value of m.
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Updated on: 26 Aug 2018, 02:42
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If m = 3x + 4y for x, y > 0. Find the minimum value of m. (1) When m is minimum distance between X and Y intercepts in a coordinate plane is 15/2 . (2) xy = 27/4
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Originally posted by Helium on 25 Aug 2018, 19:36.
Last edited by Bunuel on 26 Aug 2018, 02:42, edited 5 times in total.
Renamed the topic and edited the question.



Director
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Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.
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Updated on: 25 Aug 2018, 20:56
Harshgmat wrote: If m = 3x + 4y Find the minimum value of m.
1) When minimum distance between X and Y intercepts in a coordinate plane is 15/2 .
2) xy = 27 Hi HarshgmatStatement I:\(25 m^2/16*9 = 225/4\) m = 18 Statement II:\(x = 27/4y\) \(m = 81/4y + 4y\) \(y = 9/4, x = 3\) \(m = 18\). Hence, D.
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Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.
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Updated on: 25 Aug 2018, 20:57
rahul16singh28 wrote: Harshgmat wrote: If m = 3x + 4y Find the minimum value of m.
1) When minimum distance between X and Y intercepts in a coordinate plane is 15/2 .
2) xy = 27 Hi HarshgmatNot sure, if we are missing anything in the question or if there is any flaw in my logic. Statement I:\(25 m^2/16*9 = 225/4\) m = 18 Statement II:\(x = 27/y\) \(m = 81/y + 4y\) \(y = 9/2, x = 6\) \(m = 36\). For the same value of m, I am getting two different answers from the two statements. But as Statement I says, the distance is minimum between the two Intercepts  so, m(min) = 18. Hence, A. Hi rahul16singh28Thanks...Edited the typo. Does it make sense now... Your approach for statement 2) is elegant!!
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Everything will fall into place…
There is perfect timing for everything and everyone. Never doubt, But Work on improving yourself, Keep the faith and Stay ready. When it’s finally your turn, It will all make sense.
Originally posted by Helium on 25 Aug 2018, 20:44.
Last edited by Helium on 25 Aug 2018, 20:57, edited 1 time in total.



Director
Joined: 31 Jul 2017
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Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.
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25 Aug 2018, 20:50
Harshgmat wrote: rahul16singh28 wrote: Harshgmat wrote: If m = 3x + 4y Find the minimum value of m.
1) When minimum distance between X and Y intercepts in a coordinate plane is 15/2 .
2) xy = 27 Hi HarshgmatNot sure, if we are missing anything in the question or if there is any flaw in my logic. Statement I:\(25 m^2/16*9 = 225/4\) m = 18 Statement II:\(x = 27/y\) \(m = 81/y + 4y\) \(y = 9/2, x = 6\) \(m = 36\). For the same value of m, I am getting two different answers from the two statements. But as Statement I says, the distance is minimum between the two Intercepts  so, m(min) = 18. Hence, A. Hi rahul16singh28Thanks...Edited the typo. Does it make sense now... Your approach for sentence 2) is elegant!! Yeah.. now the answer should be D:).. Thanks..!!
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Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.
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25 Aug 2018, 22:38
Harshgmat wrote: If m = 3x + 4y Find the minimum value of m.
1) When minimum distance between X and Y intercepts in a coordinate plane is 15/2 .
2) xy = 27/4 The question is flawed. It is nowhere mentioned that x and y are positive so xy =27/4 can mean x= 1000 and y = 27/4000 So 3x+4y = 3*1000+4*(27/4000)=300027/1000 Ofcourse the value can go to '  infinity' Also statement I is awkward 1) WHEN min distance .... When seems to be giving some scenario and not a condition.. So it should have been merely 1) min distance....
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Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.
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25 Aug 2018, 22:56
chetan2u wrote: Harshgmat wrote: If m = 3x + 4y Find the minimum value of m.
1) When minimum distance between X and Y intercepts in a coordinate plane is 15/2 .
2) xy = 27/4 The question is flawed. It is nowhere mentioned that x and y are positive so xy =27/4 can mean x= 1000 and y = 27/4000 So 3x+4y = 3*1000+4*(27/4000)=300027/1000 Ofcourse the value can go to '  infinity' Also statement I is awkward 1) WHEN min distance .... When seems to be giving some scenario and not a condition.. So it should have been merely 1) min distance.... chetan2u You are right... if it is given that x, y >0 then does that make given statements sufficient ?
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Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.
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25 Aug 2018, 22:56






