A line of fixed length 2 units moves so that its ends are on the positive -axis and that part of the line which lies in the second quadrant. Then the locus of the midpoint of the line has the equation |
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a) |
b) |
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c) |
d) |
A line of fixed length 2 units moves so that its ends are on the positive -axis and that part of the line which lies in the second quadrant. Then the locus of the midpoint of the line has the equation |
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a) |
b) |
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c) |
d) |
(a)
If , then and . Hence, and . since is the midpoint of , so
or
Eliminating , we have