A line l passing through the origin is perpendicular to the linesThen , the coordinate(s) of the poi

Question

A line l passing through the origin is perpendicular to the linesThen , the coordinate(s) of the point(s) on l2 at a distance of from the point of intersection of l and l1is(are) -

Accepted Answer

(3, - 1, 4) + (1, 2, 2)t

(3, 3, 2) + (2, 2, 1)s
vector perpendicular to _l and l₂ :

∴ Equation of line l :

Point of intersection of _l and l
3 + t = -2 λ.
-1 + 2t = 3 λ.
4 + 2t = -2 λ.
On solving we getλ = -1, t = -1
∴ Point of intersection of l₁ and l
A point on l₂ at distance of

from P :
⇒ (1 + 2s)² + (6 + 2s)² + s² = 17
⇒

: = - 2
for above s, point will be (B), (D)

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