Which of the following pairs of lines are perpendicular?
Options
A
and
B
and
C
and
D
and
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question tests the understanding of the condition for perpendicular lines, which states that two lines are perpendicular if the product of their slopes is -1 ().
Key Concept Explanation
The slope of a line in the form is given by . For two lines to be perpendicular, the product of their slopes must be -1.
Option Analysis
Identify the slopes of each pair of lines:
For option A: and
Slope of the first line:
Slope of the second line:
Since , these lines are not perpendicular.
For option B: and
Slope of the first line:
Slope of the second line:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.