GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
What is the distance between the two straight lines represented by th
[#permalink]
Updated on: 22 Dec 2024, 02:03
Updated on: 22 Dec 2024, 02:03
Expert Reply
00:00
Question Stats:
20% (00:21) correct
80% (01:09) wrong based on 5 sessions
Hide Show timer Statistics
What is the distance between the two straight lines represented by the equations \(3x + 4y = 10\) and \(6x + 8y = 10\)?
A. 2
B. 4/3
C. 1
D. \(\dfrac{1}{\sqrt{2}}\)
E. \(\frac{1}{2}\)
A. 2
B. 4/3
C. 1
D. \(\dfrac{1}{\sqrt{2}}\)
E. \(\frac{1}{2}\)
- Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
What is the distance between the two straight lines represented by th
[#permalink]
22 Dec 2024, 02:04
22 Dec 2024, 02:04
Expert Reply
The lines of the form $\(a x+b y=c \& a x+b y=c_1\)$ are parallel lines $\&$ the distance between them is $\(\frac{\left|c-c_1\right|}{\sqrt{a^2+b^2\)$ (Note: - Modulus is put as the distance cannot be negative)
The given lines $3\( x+4 y=10 \& 6 x+8 y=10\)$ i.e. $\(3 x+4 y=5\)$ are parallel lines, so using the above formula we get the distance between them as $\(\frac{|10-5|}{\sqrt{3^2+4^2}\)=\(\frac{5}{5}\)\(=1\)$
Hence the answer is (B).
The given lines $3\( x+4 y=10 \& 6 x+8 y=10\)$ i.e. $\(3 x+4 y=5\)$ are parallel lines, so using the above formula we get the distance between them as $\(\frac{|10-5|}{\sqrt{3^2+4^2}\)=\(\frac{5}{5}\)\(=1\)$
Hence the answer is (B).
gmatclubot
What is the distance between the two straight lines represented by th [#permalink]
22 Dec 2024, 02:04
Moderators:
