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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

a)

b)

c)

d)



Question ID - 54524 | SaraNextGen Top Answer

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

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (a,b) -

(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

127 votes


127