If from a point P(a,b,c) perpendicular P...

If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and zx-planes, find the vector equation of the plane OAB.

Text Solution

Verified by Experts

The correct Answer is:

A, B, C

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE-III: (TRUE OR FALSE QUESTIONS))|17 Videos
SAMPLE QUESTIONS PAPER - III (UNSOLVED)
ACCURATE PUBLICATION|Exercise SECTION - D|6 Videos
VECTOR ALGEBRA
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|102 Videos

Similar Questions

Explore conceptually related problems

The foot of perpendicular drawn from the origin to a plane is (2,5,7). Find the vector equations of the plane.

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

P is a point (a, b, c). Let A, B, C be images of P in y-z, z-x and x-y planes respectively, then the equation of the plane ABC is

The foot of the perpendicular drawn from the origin to the plane is : (2,-3,-4). Find the equation of the plane.

A plane passes through a fixed point (a, b, c) and direction ratios of the normal to the plane are (2, 3 , 4) find the equation of the plane

From the point P(1,2,4), a perpendicular is drawn on the plane 2x+y-2z+3=0 . Find the equations, the length and co-ordinates of the foot of the perpendicular.

Find the length and foot of perpendicular drawn from the point (3,2,1) onto the plane 2x-y+z+1=0. also find the equation of the plane in which they lie.

If the line drawn from the point (-2,-1,-3) meets a plane at right angles at the point (1,-3,3), find the eqution of the plane.

If the foot of perpendicular drawn from the origin to a plane is (5,-3,-2), then the equation of plane is vecr.(5hati-3hatj-2hatk)=38 .

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:

Find the equation of the plane passing through the line of intersectio...
Text Solution
|
Find the equation of the plane which contains the line of intersection...
Text Solution
|
If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...
Text Solution
|
Find the equation of the plane passing through the points (3, 4, 1), (...
Text Solution
|
Find the equations of the perpendicular from the point (3, -1, 11) to...
Text Solution
|
Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.
Text Solution
|
Find the distance between the point (7,2,4) and the plane determined b...
Text Solution
|
Find the distance between the point P(6,5,9) and the plane determined ...
Text Solution
|
Find the cartesian and vector equations of the planes passing through ...
Text Solution
|
Find the co-ordinates of the points where the line through the points ...
Text Solution
|
Find the coordinates of the point where the line through the points A ...
Text Solution
|
Find the distance of the point (3,4,5) from the plane x+y+z=2 measured...
Text Solution
|
Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...
Text Solution
|
Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...
Text Solution
|
Find cartesian equations of the plane containing the lines: vecr=2hat...
Text Solution
|
Find the equation of the plane containingg the lines: vecr=hati+hatj+l...
Text Solution
|
Find the value of k for which the following lines are perpendicular to...
Text Solution
|
Find the equation of the plane passing through the points (2,1,0), (3,...
Text Solution
|
Find the vector and Cartesian form of the equation of the plane passin...
Text Solution
|
The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point o...
Text Solution
|