Introduction to 3DHard
Question
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
Options
A.1
B.√2
C.√3
D.2
Solution
D.C of the line are 
Any point on the line at a distance t from P(2, - 1, 2) is
which lies on 2x + y + z = 9 ⇒ t = √3.
Any point on the line at a distance t from P(2, - 1, 2) is
which lies on 2x + y + z = 9 ⇒ t = √3.
Create a free account to view solution
View Solution FreeMore Introduction to 3D Questions
If points (2, 0, −1) ; (3, 2, −2) and (5, 6, λ) are collinear then λ equal to -...If the line makes angles α, β, γ with xy, yz and zx planes respectively then which one of the following a...If the direction ratios of a line are 1, −3, 2, then the direction cosines of the line are -...The direction cosines of any normal to the xz-plane is -...Find the sum of all values of $\alpha$ for which the shortest distance between the lines $$\frac{x+1}{\alpha} = \frac{y-...