In R', consider the planes `P_1, y= 0` and `P_2:x + z =1`. Let `P_3`, be a plane, different from `P_1`, and `P_2`, which passes through the intersection of `P_1`, and `P_2`. If the distance of the point `(0, 1, 0)` from `P_3`, is `1` and the distance of a point `(alpha,beta,gamma)` from `P_3` is `2`, then which of the following relation is (are) true ?

In R', consider the planes P_1, y= 0 and P_2:x + z =1. Let P_3, be a plane, different from P_1, and P_2, which passes through the intersection of P_1, and _2P If the distance of the point (0, 1, 0) from P_3, is 1 and the distance of a point (alpha,beta,gamma) from P_3 is 2, then which of the following relation is (are) true ?

In R, consider the planes P_(1): y = 0 and P_(2) : x +z = 1 . Let P_(3) be a plane, different from P_(1) and P_(2) , which passes through the intersection of P_(1) and P_(2) . If the distance of the point (0, 1,1) from P_(3) is 1 and the distance of a point (alpha, beta, gamma) " from " P_(3) is 2, then which of the following relations is (are) true?

In R^3 , consider the planes: P_1: y=0 and P_2:x+z=1 . Let P_3 be a plane, different from P_1 and P_2 , which passes through the intersection of P_1 and P_2 . If the distance of the point (0,1,0) from P_3 is 1 and the distance of a point (alpha, beta, gamma) from P_3 is 2, then which of the following relations is (are) true?

In R^(3) , consider the planes P_(1):y=0 and P_(2),x+z=1. Let P_(3) be a plane, different from P_(1) and P_(2) which passes through the intersection of P_(1) and P_(2) , If the distance of the point (0,1,0) from P_(3) is 1 and the distance of a point (alpha,beta,gamma) from P_(3) is 2, then which of the following relation(s) is/are true?

In R^(3) , consider the planes P_(1):y=0 and P_(2),x+z=1. Let P_(3) be a plane, different from P_(1) and P_(2) which passes through the intersection of P_(1) and P_(2) , If the distance of the point (0,1,0) from P_(3) is 1 and the distance of a point (alpha,beta,gamma) from P_(3) is 2, then which of the following relation(s) is/are true?

In R^(3) , consider the planes P_(1):y=0 and P_(2),x+z=1. Let P_(3) be a plane, different from P_(1) and P_(2) which passes through the intersection of P_(1) and P_(2) , If the distance of the point (0,1,0) from P_(3) is 1 and the distance of a point (alpha,beta,gamma) from P_(3) is 2, then which of the following relation(s) is/are true?

In R^(3) , consider the planes P_(1):y=0 and P_(2),x+z=1. Let P_(3) be a plane, different from P_(1) and P_(2) which passes through the intersection of P_(1) and P_(2) , If the distance of the point (0,1,0) from P_(3) is 1 and the distance of a point (alpha,beta,gamma) from P_(3) is 2, then which of the following relation(s) is/are true? (a) 2alpha + beta + 2gamma +2 = 0 (b) 2alpha -beta + 2gamma +4=0 (c) 2alpha + beta - 2gamma- 10 =0 (d) 2alpha- beta+ 2gamma-8=0

In R^(3) , consider the planes P_(1):y=0 and P_(2),x+z=1. Let P_(3) be a plane, different from P_(1) and P_(2) which passes through the intersection of P_(1) and P_(2) , If the distance of the point (0,1,0) from P_(3) is 1 and the distance of a point (alpha,beta,gamma) from P_(3) is 2, then which of the following relation(s) is/are true? (a) 2alpha + beta + 2gamma +2 = 0 (b) 2alpha -beta + 2gamma +4=0 (c) 2alpha + beta - 2gamma- 10 =0 (d) 2alpha- beta+ 2gamma-8=0

The locus of a point P from which the distance to the point (1,1,1) is double the distance from P to the yz - plane is

A plane P passes through the line of intersection of the planes 2x-y+3z=2.x+y-z=1 and the point (1,0,1) What is the equation of the plane P?