Question: Which of the following is NOT a family of curves?
Options:
y = kx^2
y = ksin(x)
y = kx
y = k/x
Correct Answer: y = kx
Solution:
y = kx represents a family of straight lines, but it is not a family of curves.
Which of the following is NOT a family of curves?
Practice Questions
Q1
Which of the following is NOT a family of curves?
y = kx^2
y = ksin(x)
y = kx
y = k/x
Questions & Step-by-Step Solutions
Which of the following is NOT a family of curves?
Step 1: Understand what a family of curves means. A family of curves is a set of curves that can be described by a general equation with a variable parameter.
Step 2: Look at the equation given in the question: y = kx. Here, 'k' is the parameter that can change.
Step 3: Recognize that when 'k' changes, the equation y = kx describes different straight lines, not curves.
Step 4: Conclude that since y = kx represents straight lines and not curves, it is NOT a family of curves.
No concepts available.
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