In what direction a line be drawn through the point (1, 2) so that its points of intersection with the line 
is at a distance 
from the given point
Text Solution
Verified by ExpertsD
Let the required line through the point (1,2) be inclined at an angle 
to the axis of x. Then its equation is 
.....(i)
where r is distance of any point ( x , y ) on the line from the point (1, 2).
The coordinates of any point on the line (i) are 
. If this point is at a distance 
form (1, 2), then 
Therefore, the point is 
.
But this point lies on the line 
.
⇒ ⇒ 
or 
⇒ ⇒ 
,
{Dividing both sides by 
}
⇒ ⇒ 
or sin 
⇒ ⇒ 
or 
.
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