The equations of three planes are `P_(1):x-2y+z-3=0, P_(2):5x-y-z-8=0` and `P_(3):x+y-z-7=0`, then the common solution of the three planes is.

Consider three planes P_(1):x-y+z=1 P_(2):x+y-z=-1 and " "P_(3):x-3y+3z=2 Let L_(1),L_(2),L_(3) be the lines of intersection of the planes P_(2) and P_(3),P_(3) and P_(1),P_(1) and P_(2) respectively. Statement I Atleast two of the lines L_(1),L_(2) and L_(3) are non-parallel. Statement II The three planes do not have a common point.

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0

Consider the three planes P_1 :3x +15 y +21 z=9 , P_2 :x - 3y -z=5 , and P_3 : 2x +10y +14 z =5 then , which one of the following is true ?

Let the equtios of two planes be P_1:2x-y+z=2 and P_2: x+2y-z=3 the equation o fthe plane through the intersection of P_1 nd P_2 and the point (3,2,1) is (A) x-3y+2z+1=0 (B) 3x-y+2z-9=0 (C) 4x-3y+2z-8=0 (D) 2x-3y+z-1=0

Let the equations of two planes be P_1: 2x-y+z=2 and P_2: x+2y-z=3 Equation of the plane which passes through the point (-1,3,2) and is perpendicular to each of the plane P_1 and P_2 is (A) x-3y-5z+20=0 (B) x+3y+5z-18=0 (C) x-3y-5z=0 (D) x+3y-5z=0