jee-advanced 2009 Q21

jee-advanced · India · paper2 Vectors 3D & Lines Line-Plane Intersection
A line with positive direction cosines passes through the point $P(2,-1,2)$ and makes equal angles with the coordinate axes. The line meets the plane $$2x+y+z=9$$ at point $Q$. The length of the line segment $PQ$ equals
(A) 1
(B) $\sqrt{2}$
(C) $\sqrt{3}$
(D) 2 
A line with positive direction cosines passes through the point $P(2,-1,2)$ and makes equal angles with the coordinate axes. The line meets the plane
$$2x+y+z=9$$
at point $Q$. The length of the line segment $PQ$ equals\\
(A) 1\\
(B) $\sqrt{2}$\\
(C) $\sqrt{3}$\\
(D) 2
Paper Questions
Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q28 Q29 Q30 Q31 Q32 Q33 Q34 Q35 Q36 Q37 Q38