2) The following diagram shows the points P, Q, and M. M is the midpoint of [PQ]. P(0, 2) 0 M Q(2.0) X a) Write down the equation of the line [PQ]. b) Write down the equation of the line through M which is perpendicular to the line [PQ].
2) The following diagram shows the points P, Q, and M. M is the midpoint of [PQ]. P(0, 2) 0 M Q(2.0) X a) Write down the equation of the line [PQ]. b) Write down the equation of the line through M which is perpendicular to the line [PQ].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**2) The following diagram shows the points P, Q, and M. M is the midpoint of [PQ].**
(Diagram)
- There is a coordinate plane with points marked:
- \( P(0, 2) \) on the y-axis, 2 units above the origin.
- \( Q(2, 0) \) on the x-axis, 2 units to the right of the origin.
- The line segment [PQ] is drawn between points P and Q.
- A midpoint \( M \) is labeled on the line segment [PQ].
**a) Write down the equation of the line [PQ].**
**b) Write down the equation of the line through M which is perpendicular to the line [PQ].**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd86db678-bc86-44fd-bd72-7c276c312ad6%2F370daa4c-c9a3-42bb-83d1-75e6d28fd03f%2Facdo9d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**2) The following diagram shows the points P, Q, and M. M is the midpoint of [PQ].**
(Diagram)
- There is a coordinate plane with points marked:
- \( P(0, 2) \) on the y-axis, 2 units above the origin.
- \( Q(2, 0) \) on the x-axis, 2 units to the right of the origin.
- The line segment [PQ] is drawn between points P and Q.
- A midpoint \( M \) is labeled on the line segment [PQ].
**a) Write down the equation of the line [PQ].**
**b) Write down the equation of the line through M which is perpendicular to the line [PQ].**
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