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) find the point Q such that PQ is perpendiculr to the plane in x+y-2z =3 and the mid point of PQ lies on it.

Find the equation of the plane passing through the points (2,1,0),(5,0,1) and (4,1,1) If P is the point (2,1,6) then find point Q such that PQ is perpendicular to the above plane and the mid point of PQ lies on it.

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 _______.

Consider the line L-=(x-1)/(2)=(y+2)/(3)=(z-7)/(6) . Point P(2, -5, 0) and Q are such that PQ is perpendicular to the line L and the midpoint of PQ lies on line L, then coordinates of Q are

Find the equation of the plane that contains the point (1, -1, 2) and is perpendicular to each of the planes 2x + 3y - 2z = 5 and x + 2y - 3z = 8 .

If P is the point (1,0) and Q is any point on the parabola y^(2) = 8x then the locus of mid - point of PQ is

A plane P = 0 passing through the point (1, 1, 1) is perpendicular to the planes 2x-y+2z=5 and 3x+6y-2z=7 . If the distance of the point (1, 2, 3) from the plane P = 0 is k units, then the value of 34k^(2) is equal to

The distance of the point (1,-2,4) from the plane passing through the point (1,2,2) perpendicular to the planes x-y+2z=3 and 2x-2y+z+12=0 is

Find the equation of plane perpendicular to the plane 2x + 3y - 5z - 6 = 0 and passing through the point P(2,-1,-1) and Q(1,2,3)

Rod PQ of length 2l is rotating about one end P in a uniform magnetic field B which is perpendicular to the plane of rotation of the rod . Point M is the mid- point of the rod. Find the induced emf between M and Q if the potential between P and Q is 100 V .