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The converse of a statement of the form “If A then B” is the statement “If B then A .”  (a) Write the converse of the statement “If point P is equidistant from the coordinate axes, then point P is on the line y=x.” (b) Give an example of a true statement whose converse is false. (c) Give an example of a true statement whose converse is also true.

The converse of a statement of the form “If A then B” is the statement “If B then A .”  (a) Write the converse of the statement “If point P is equidistant from the coordinate axes, then point P is on the line y=x.” (b) Give an example of a true statement whose converse is false. (c) Give an example of a true statement whose converse is also true.

Advanced Engineering Mathematics
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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The converse of a statement of the form “If A then B” is the statement “If B then A .” 

(a) Write the converse of the statement “If point P is equidistant from the coordinate axes, then point P is on the line y=x.”

(b) Give an example of a true statement whose converse is false.

(c) Give an example of a true statement whose converse is also true.

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