The equation of the plane tt through the line of intersection of the planes \pi_1 = x + 3y - 6 = 0 , and \pi_2 = 3x - y + 4z = 0 is \pi_1+\lambda\pi_2 = 0. If the plane π is at unit distance from the origin, then an equation of the plane π is

Correct Answer is : 2x + y + 2z - 3 = 0

AP EAMCET Engineering 23 Apr 2019 Shift 1 Paper

Section: Mathematics

Question : 61 of 160

Marks: +1, -0

The equation of the plane tt through the line of intersection of the planes π1 = x + 3y - 6 = 0 , and π2 = 3x - y + 4z = 0 is π1+λπ2 = 0. If the plane π is at unit distance from the origin, then an equation of the plane π is

2x + y + 2z - 3 = 0
2x - y - 2z + 3 = 0
2x + y + 2z + 3 = 0
x + 2y + 2z + 3 = 0

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