Let L be the line of intersection of the...

Let L be the line of intersection of the planes `2x+3y+z=1 and x+3y+2z=2`. If L makes an angle `alpha` with the positive X=axis, then `cosalpha` equals

`1/sqrt(2)`

`1/sqrt(3)`

`1/2`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PLANE IN SPACE
MARVEL PUBLICATION|Exercise PREVIOUS YEAR MHT-CET EXAM QUESTIONS|3 Videos
PLANE IN SPACE
MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,8|16 Videos
PLANE IN SPACE
MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos
PAIR OF STRAIGHT LINES
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos
THREE DIMENSIONAL GEOMETRY
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

Similar Questions

Explore conceptually related problems

Let L.be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2. If L makes an angles alphawith the positive x-axis, then cos alpha equals

Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2. If L makes an angle alpha with the positive x-axis,then cos alpha equals a.(1)/(2) b.1 c.(1)/(sqrt(2)) d.(1)/(sqrt(3))

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4=0 and parallel to x -axis is

Let P be the plane passing through the point (0,1,–1) and perpendicular to the line of intersection of the planes 2x+z=3 and 3y+2z=5 . If plane P intersects x -axis, y -axis, z -axis, at points A,B,C respectively then area of triangle ABC equals

The Plane 2x - 3y + 6z - 11 = 0 makes an angle sin^(-1) (alpha) with x-axis. The value of alpha is equal to

MARVEL PUBLICATION-PLANE IN SPACE -PART B: MASTERING THE BEST ON LINE AND PLANE IN SPACE

If bara,barb,barc are any three coplanar unit vectors then
Text Solution
|
If the angle theta between the line (x+1)/(1)=(y-1)/(2)=(z-2)/(2) and ...
Text Solution
|
Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=...
Text Solution
|
If the line passing through the points (5,1,p) and (3,q,1) crosses the...
Text Solution
|
If the straight lines (x-1)/k = (y-2)/2 =(z-3)/3 and (x-2)/3 = (y-3)...
Text Solution
|
If the line (x-2)/3 =(y-1)/-5 =(z+2)/2 lies in the plane x+3y - alpha...
Text Solution
|
Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...
Text Solution
|
A variable plane x/a+y/b+z/c=1 at a unit distance from origin cuts the...
Text Solution
|
A unit vector a makes an angle pi/ 4 with z-axis. If a + i + j is a un...
Text Solution
|
Let alpha,beta,gamma be distinct real numbers. The points with positio...
Text Solution
|
The projection of a vector on the three coordinate axes are 6, -3, 2, ...
Text Solution
|
The plane barr = s(i+2j-4k) +t(3i+4j-4k) +(1-t)(2i-7j+3k) is paralle...
Text Solution
|
A line with positive direction cosines passes through the point P(2, –...
Text Solution
|
The equation of the plane containing the straight line x/2=y/3=z/4 and...
Text Solution
|
If a plane meets coordinate axes in points A,B,C such that the centroi...
Text Solution
|
Find the equations of the bisectors of the angles between the plane...
Text Solution
|
If the perpendicular distance of a point A, other than the origin from...
Text Solution
|
Under what condition do the planes bx-ay=n,cy-bz=l,az-cx=m intersect ...
Text Solution
|
If the two lines, whose d.C.s l,m,n are given by the equation al+bm+cn...
Text Solution
|
The straight lines, whose direction cosines are l, m, n which are the ...
Text Solution
|