Home
Class 12
MATHS
Let P be a point in the first octant,...

Let `P` be a point in the first octant, whose image `Q` in the plane `x+y=3` (that is, the line segment `P Q` is perpendicular to the plane `x+y=3` and the mid-point of `P Q` lies in the plane `x+y=3)` lies on the z-axis. Let the distance of `P` from the x-axis be 5. If `R` is the image of `P` in the xy-plane, then the length of `P R` is _______.

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Similar Questions

Explore conceptually related problems

If P is the point (2,1,6) find the point Q such that PQ is perpendicular to the plane x+y-2z=3 and the mid point of PQ lies on it.

If P is the point (2,1,6) then find the point Q such that PQ is perpendicular to the plane x + y − 2 z = 3 and the midpoint of PQ lies on it

Let P be a point on the line y=3x and Q lies on 2y+x=2 and the mid-point of PQ is (2,3). Find the distance PQ

Let P be a point on the line y=3x and Q lies on 2y+x=2 and the mid-point of PQ is (2,3). Find the distance PQ

Find the image of the point P(3,5,7) in the plane 2x+y+z=0

The point of injtersection of the line x/p+y/q=1 and x/q+y/p=1 lies on the line

Q is the image of point P(1,-2,3) with respect to the plane x-y+z=7. The distance of Q from the origin is.

let P be the plane,which contains the line of intersection of the planes x+y+z-6=0 and 2x+3y+z+5=0 and it is perpendicular to the xy-plane thent he distance of the point (0,0,256) from P is equal to

Given three points P,Q,R with P(5,3) and R lies on the x-axis. If equation of RQ is x-2y=2 and PQ is parallel to the x-axis, then the centroid of DeltaPQR lies on the line: