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 |
|||

a) |
b) |
||

c) |
d) |

1 Answer

127 votes

**(a)**

If , then and . Hence, and . since is the midpoint of , so

or

Eliminating , we have

127 votes

127