Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
If two linear equations are represented as ax + by = c and dx + ey = f, under wh
If two linear equations are represented as ax + by = c and dx + ey = f, under what condition will they be parallel?
Expand All
Collapse All
Practice Questions
1 question
Q1
If two linear equations are represented as ax + by = c and dx + ey = f, under what condition will they be parallel?
If a/e = b/d
If a/d = b/e
If a/b = c/f
If c/f = d/e
Show Solution
Copy
Two lines are parallel if their slopes are equal, which occurs when a/d = b/e.
Questions & Step-by-step Solutions
1 item
Q
Q: If two linear equations are represented as ax + by = c and dx + ey = f, under what condition will they be parallel?
Solution:
Two lines are parallel if their slopes are equal, which occurs when a/d = b/e.
Steps: 6
Show Steps
Step 1: Understand that a linear equation can be written in the form ax + by = c.
Step 2: Identify the coefficients a, b, d, and e from the two equations: ax + by = c and dx + ey = f.
Step 3: Recall that the slope of a line in the form ax + by = c can be found using the formula -a/b.
Step 4: Write the slopes of both lines: the slope of the first line is -a/b and the slope of the second line is -d/e.
Step 5: For the two lines to be parallel, their slopes must be equal. This means -a/b = -d/e.
Step 6: Simplify the equation from Step 5 to get a/d = b/e, which is the condition for the lines to be parallel.
Related Questions
W
Which sentence would best fit in the blank space in the following paragraph? 'Wh
Question: Which sentence would best fit in the blank space in the following paragraph? \'While socia..
I
In a system of linear equations, what does it mean if the equations are inconsis
Question: In a system of linear equations, what does it mean if the equations are inconsistent?Optio..
W
What can be inferred about the author's attitude towards social media?
Question: What can be inferred about the author\'s attitude towards social media?Options: The author..
W
Which of the following words best captures the essence of the author's perspecti
Question: Which of the following words best captures the essence of the author\'s perspective on soc..
W
What is the geometric interpretation of the solution to a system of linear equat
Question: What is the geometric interpretation of the solution to a system of linear equations?Optio..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
