If the angle theta between the line (x+1...

If the angle `theta` between the line `(x+1)/(1)=(y-1)/(2)=(z-2)/(2)` and
the plane `2x-y+sqrt(lambda)z+4=0` is such that `sintheta=(1)/(3)`.
The value of `lambda` is

A

`(-4)/(3)`

B

`(3)/(4)`

C

`(-3)/(5)`

D

`(5)/(3)`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

The angle between the line (x+1)/(3)=(y-1)/(2)=(z-2 )/(4) and the plane 2x+y-3z+4=0 is

The angle between the line (x)/(2)=(y)/(3)=(z)/(4) and the plane 3x+2y-3z=4 is

The distance between the line (x-1)/(3)=(y+2)/(-2)=(z-1)/(2) and the plane 2x+2y-z=6 is

The point of intersection of the line (x)/(1)=(y-1)/(2)=(z+2)/(3) and the plane 2x+3y+z=0 is

The sine of the angle between the straight line (x-2)/3=(y-3)/4=(z-4)/5 and the plane 2x-2y+z=5 is

If the angle between the line (x-1)/(1)=(y-2)/(k)=(z+3)/(4) and the plane x-3y+2z+5=0 is sin^(-1)((3)/(7sqrt(6))) , the value of k is

If the angle batween the line x=(y-1)/(2)=(z-3)/(lambda) and the plane x+2y+3z=4 is cos^(-1)(sqrt((5)/(14))) , then lambda equals

The angle between the lines (x)/(1)=(y)/(0)=(z)/(-1)and(x)/(3)=(y)/(4)=(z)/(5) is

The point of intersection of the line (x-1)/3=(y+2)/4=(z-3)/-2 and the plane 2x-y+3z-1=0 , is

The line (x+3)/(3)=(y-2)/(-2)=(z+1)/(1) and the plane 4x+5y+3z-5=0 intersect at a point