If the foot of perpendicular drawn from ...

If the foot of perpendicular drawn from the origin to a plane is (5, - 3, - 2), then the equation of plane is `barr.(5bari-3barj-2bark)=38`.

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|173 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos
VECTOR ALGEBRA
KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

If the foot of perpendicular from the origin to the plane is (a,b,0) thne the eqution of the plane is .......

If the foot of perpendicular from origin to the plane is (2,1,0) then the equation of the plane is ..........

If the foot of perpendicular from origin to the plane is (1,2,3) then the equation of the plane is............

The foot of perpendicular from the origin to the plane is (4, -2, -5) find the cartesian equation of the plane.

The foot of perpendicular from the origin to the plane is (a,b,c). So the equation of the plane is ..........

The coordinate of the foot of the perpendicular drawn from the origin to a plane are (12, -4, 3). Find the equation of the plane.

The foot of perpendicular drawn from the origin to the plane 2x + 3y + 4z - 12 = 0 is..........

The cartesian equation of the plane barr.(bari+barj-bark)=2 is..........

Find the equation of the perpendicular drawn from the origin to the plane 2x+4y-5z=10 .

The plane makes the angles (pi)/(4),(pi)/(4) and (pi)/(2) with the positive direction of X - axis, Y - axis and Z- axis respectively. The length of perpendicular drawn from origin to the plane is sqrt(2) , then the equation of the plane is .......

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)

If the directions cosines of a line are k, k and k then ..........
Text Solution
|
The distance of the plane barr.(2/7i+3/7j-6/7k)=1 from the origin is …...
Text Solution
|
The sine of the angle between the straight line (x-2)/(3)=(y-3)/(4)=(z...
Text Solution
|
The reflection of the point (alpha,beta,gamma) in the xy - plane is .....
Text Solution
|
The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4...
Text Solution
|
The locus represented by xy + yz = 0 is .........
Text Solution
|
The plane 2x – 3y + 6z - 11 = 0 makes an angle sin^(-1)alpha with X- a...
Text Solution
|
A plane passes through the points (2, 0, 0) (0,3,0) and (0, 0, 4). The...
Text Solution
|
The direction cosines of the vector 2bari + 2barj - bark are ............
Text Solution
|
The cartesian equation of a line is (x-5)/(3)=(y+4)/(7)=(z-6)/(2).Writ...
Text Solution
|
The vector equation of the line through the points (3, 4, -7) and (1, ...
Text Solution
|
The cartesian equation of the plane barr.(bari+barj-bark)=2 is...........
Text Solution
|
The unit vector normal to the plane x + 2y + 3z - 6 = 0 is (1)/(sqrt(1...
Text Solution
|
The intercepts made by the plane 2x - 3y + 5z + 4 = 0 on the co-ordina...
Text Solution
|
The angle between the line vecr=(5hati-hatj-4hatk)+lambda(2hati-hatj+h...
Text Solution
|
The angle between the planes barr.(2bari-3barj+bark)=1 and barr.(i-j)=...
Text Solution
|
The line barr = 2bari - 3barj - bark + lambda (bari - barj + 2bark) li...
Text Solution
|
The cartesian equation of a line is (x-5)/(3)=(y+4)/(7)=(z-6)/(2).Writ...
Text Solution
|
The equation of a line, which is parallel to 2bari + barj + 3bark and ...
Text Solution
|
If the foot of perpendicular drawn from the origin to a plane is (5, -...
Text Solution
|