Home
Class 11
MATHS
Find the direction cosines of the normal...

Find the direction cosines of the normal to the plane `x+2y+2z-4=0`

Text Solution

Verified by Experts

The correct Answer is:
`((1)/(3),(2)/(3),(2)/(3))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PLANES

    AAKASH SERIES|Exercise EXERCISE - 8.1 (SHORT ANSWER QUESTIONS)|16 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED ANALYTICAL SOLVED EXAMPLES|10 Videos

  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos

Similar Questions

Explore conceptually related problems

Lines bar(OA),bar(OB) are drawn from O with direction cosines proportional to (1,-2,-1), (3,-2,3). Find the direction cosines of the normal to the plane AOB.

Let us reduce the equation of the plane x + 2y - 2z - 9 = 0 to tlje normal form and hence find the direction cosines of the normal to the plane and the length of the perpendicular drawn from the origin to the given plane.

Knowledge Check

  • If A = (1, 8, 4) , B= (2, -3, 1) , then the direction cosines of a normal to the plane AOB is

    A
    A `2/sqrt(78) , 5 /sqrt(78), (-7)/sqrt(78)`
    B
    B `(2sqrt(10))/9, (7sqrt(10))/90, (-19sqrt(10))/90`
    C
    C `4/sqrt(218) , 9 /sqrt(218), (-11)/sqrt(218)`
    D
    D `2/11, 6/11, (-9)/11`

  • The direction cosines of the normal drawn to the plane passing through the points (2, -1, 5), (1, -3, 4), (5, 2, 1) are

    A
    `(11)/(sqrt(179)) , (-7)/(sqrt(179)), (3)/(sqrt(179))`
    B
    `(9)/(sqrt(134)), (-7)/(sqrt(134)), (2)/(sqrt(134))`
    C
    `(11)/(sqrt(179)) , (7)/(sqrt(179)), (-3)/(sqrt(179))`
    D
    `(9)/(sqrt(134)), (-7)/(sqrt(134)), (-2)/(sqrt(134))`

    • Similar Questions

    Explore conceptually related problems

    Find d.c's of the normal to plane 3x - 6y +2z -4 = 0

    Find the d.c's of the normal to the plane 2x+4y+5z=1 .

    Find the d.c's of the normal to the plane 2x+4y+5z=1 .

    Find the d.c.'s of the normal.to the plane x + 2y + 2Z - 4 = 0

    Find the d.r.s and d.c.s of normal to the plane 3x-2y+6z-7=0 .

    Find the d.r.s and d.c.s of normal to the plane 3x-2y+6z-7=0 .

    Home
    Profile