Home
Class 12
MATHS
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 cos `alpha` equals

A

`1/2`

B

`1`

C

`1/sqrt2`

D

`1/sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise AIEEE/JEE Examination|16 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|3 Videos
  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

The angle between the planes: 3x - 4y + 5z = 0 and 2x-y-2z = 5 is:

The plane 2x - 3y + 62 - 11 = 0 makes an angle sin^(-1)(alpha) with X-axis. The value of alpha is equal to

The angle between the two planes 3x- 4y + 5z = 0 and 2x-y - 2z = 5 is :

The angle between the lines 2x = 3y = - z and 6x =-y = 04z is

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

The equation of a plane passing through the line of intersection of the planes: x + 2y + 3z = 2 and x- y + z = 3 at a distance 2/sqrt3 from the point (3,1,-1) is :

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

The angle between the planes x+2y+2z =3 and -5x+3y+4z = 9 is

A line AB in three-dimensional space makes angles 45^@ and 120^@ with the positive x-axis and the positive y-axis respectively. If AB makes an acute angle theta with the positive z-axis, then theta equals :