[" 53.Let "P_(1):2x+y-z=3" and "P_(2):x+2y+z=2" be two "],[" planes.Then,which of the following statement(s) is "],[" (are) TRUE? "],[[" (a) The line of intersection of "P_(1)" and "P_(2)" has direction ratios "],[1,2,-1]]

Let P_1:2x+y-z=3 and P_2: x+2y+z=2 be two planes. Then, which of the following statement(s) is (are) TRUE? The line of intersection of P_1 and P_2 has direction ratios 1, 2, -1 (b) The line (3x-4)/9=(1-3y)/9=z/3 is perpendicular to the line of intersection of P_1 and P_2 (c) The acute angle between P_1 and P_2 is 60o (d) If P_3 is the plane passing through the point (4, 2, -2) and perpendicular to the line of intersection of P_1 and P_2 , then the distance of the point (2, 1, 1) from the plane P_3 is 2/(sqrt(3))

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 of P_(1)=0 and P_(2)=0 and passing through (1,1,1) is

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

P_(1) : x + 3y - z = 0 and P_(2) , y + 2z = 0 are two intersecting planes P_(3) is a plane passing through the point (2,1,-1) and through the line of intersection of P_(1) and P_(2) Equation of P_(3) is

P_(1) : x + 3y - z = 0 and P_(2) : y + 2z = 0 are two intersecting planes P_(3) is a plane passing through the point (2,1,-1) and through the line of intersection of P_(1) and P_(2) __________ is a point on P_(3) .

Let P_(1):x+y+2z-3=0 and P_(2)=x-2y+z=4 be two planes. Also, let A(1,3,4) and B(3,2,7) be two points in space. The equation of plane which passes through line of intersection of P_(1) and P_(2) and upon which length of projection of the line segment AB is the greatest, is

Let P_(1):x+y+2z-3=0 and P_(2)=x-2y+z=4 be two planes. Also, let A(1,3,4) and B(3,2,7) be two points in space. The equation of plane which passes through line of intersection of P_(1) and P_(2) upon which length of projection of the line segment AB is the least, is

P_(1) : x + 3y - z = 0 and P_(2) : y + 2z = 0 are two intersecting planes P_(3) is a plane passing through the point (2,1,-1) and through the line of intersection of P_(1) and P_(2) The angle between P_(1) and P_(2) is ________.