let L be a straight line passing through the origin. Suppose that all the points on L are at a constant distance from the two planes `P_1 : x + 2y-z +1 = 0` and `P_2 : 2x-y + z-1 = 0`, Let M be the locus of the feet of the perpendiculars drawn from the points on L to the plane `P_1`. Which of the following points lie(s) on M?

In R^(2), L be a straight line passing through the origin. Suppose that all the points on L are at a constant distance from the two planes p _(1) : x+ 2y -z +1=0 and p _(2) : 2x -y + z-1 =0. Let M be the locus of the feet of the perpendiculars drawn from the points on L to the plane p _(1). Which of the following points lie (s) on M ?

let L be a straight line passing through the origin.Suppose that all the points on L are at a constant distance from the two planes P_(1):x+2y-z+1=0 and P_(2):2x-y+z-1=0, Let M be the locus of the feet of the perpendiculars drawn from the points on L.the plane P_(1.) Which of the following points lie(s) on M?

Let the acute angle bisector of the two planes x - 2y - 2z + 1 = 0 and 2x - 3y - 6 + 1= 0 be the plane P. Then which of the following points lies on P ?

Let the acute angle bisector of the two planes x - 2y - 2z + 1 = 0 and 2x - 3y - 6 z+ 1= 0 be the plane P. Then which of the following points lies on P ?

Find the coordinates of the foot of the perpendicular and the perpendicular distance from the point P(3,2,1) to the plane 2x-y+z+1=0 .

Find the coordinates of the foot of the perpendicular and the perpendicular distance from the point P(3,2,1) to the plane 2x-y+z+1=0 Find also the image of the point P in the plane.

Let L_(1) be a straight line passing through the origin and L_(2) be the straight line x+y=1 if the intercepts made by the circle x^(2)+y^(2)-x+3y=0 on L_(1) and L_(2) are equal,then which of the following equations can represent L_(1)?

Let P_(1):x-2y+3z=5 and P_(2):2x-3y+z+4=0 be two planes. The equation of the plane perpendicular to the line of intersection to the line of intersection of P_(1)=0 and P_(2)= and passing through (1,1,1) is