The equation of the lines on which the perpendiculars from the origin make angle with -axis and which form a triangle of area with axes are |
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a) |
b) |
c) |
d) |
The equation of the lines on which the perpendiculars from the origin make angle with -axis and which form a triangle of area with axes are |
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a) |
b) |
c) |
d) |
(a,b)
Let be the length of the perpendicular from the origin on the given line. Then its equation in normal form is
or
This meets the coordinate axes at and . Therefore, area of is
By hypothesis,
Hence, the lines are