Image of the point P with position vector
,
has the position vector:
(-9,5,2)
(9,5,-2)
(9,-5,-2)
None
As learnt in
Perpendicular distance of a point from a line, foot of perpendicular and image (Cartesian form ) - - wherein
L be the foot of perpendicular drawn from on the line
Co-ordinates of L will be
DR's of PL will be
PL is perpendicular to line,
Find and put in coordinates of L Distance between P and L is perpendicular distance Image Q can be obtained by applying mid point formula in P and Q and equating it to L obtained.
We have equation of the line in cartesian form:
lie on the given line.
So,
So,
Putting iv (i),
So,
Option 1)
(-9,5,2)
This solution is incorrect
Option 2)
(9,5,-2)
This solution is correct
Option 3)
(9,-5,-2)
This solution is incorrect
Option 4)
None
This solution is incorrect