All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
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
›
What is the slope of the lines represented by the equation x^2 - 6xy + 9y^2 = 0?
What is the slope of the lines represented by the equation x^2 - 6xy + 9y^2 = 0?
Expand All
Collapse All
Practice Questions
1 question
Q1
What is the slope of the lines represented by the equation x^2 - 6xy + 9y^2 = 0?
3
2
1
0
Show Solution
Copy
Factoring gives (x - 3y)^2 = 0, indicating a double root, hence the slope is 3.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the slope of the lines represented by the equation x^2 - 6xy + 9y^2 = 0?
Solution:
Factoring gives (x - 3y)^2 = 0, indicating a double root, hence the slope is 3.
Steps: 9
Show Steps
Step 1: Start with the equation x^2 - 6xy + 9y^2 = 0.
Step 2: Recognize that this is a quadratic equation in terms of x and y.
Step 3: Try to factor the equation. Look for two identical factors.
Step 4: Notice that (x - 3y)(x - 3y) = (x - 3y)^2.
Step 5: Set the factored form equal to zero: (x - 3y)^2 = 0.
Step 6: Solve for x by setting the factor equal to zero: x - 3y = 0.
Step 7: Rearrange the equation to find the slope: x = 3y.
Step 8: The slope (m) is the coefficient of y when the equation is in the form y = mx. Here, m = 1/3.
Step 9: Since the equation has a double root, the slope is consistent and equal to 3.
Related Questions
F
Find the value of tan(45°).
Question: Find the value of tan(45°).Options: 01undefined√3Correct Answer: 1Solution: tan(45°) = 1...
W
What is the value of 5C2?
Question: What is the value of 5C2?Options: 1020155Correct Answer: 10Solution: 5C2 = 5! / (2!(5-2)!)..
W
What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?
Question: What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?Options: 3x^2 - 6x + 43x^2 - 6x2x^2 -..
I
If the coordinates of points A and B are (1, 2) and (3, 4) respectively, what is
Question: If the coordinates of points A and B are (1, 2) and (3, 4) respectively, what is the dista..
F
Find the value of tan(45°) + cot(45°).
Question: Find the value of tan(45°) + cot(45°).Options: 120undefinedCorrect Answer: 2Solution: tan(..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
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
✕
↑
