Consider the three planes P₁: 3x + 15y + 21z = 9, P₂: x - 3y - z = 5, and P₃: 2x + 10y + 14z = 5 Then, which one of the following is true?

(C) P₁ and P₃ are parallel.

(A) P₁ and P₂ are parallel.

(B) P₁, P₂ and P₃ all are parallel.

(D) P₂ and P₃ are parallel.

Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 26 Feb, Morning shift · Q2580

JEE Main 202126 Feb, Morning shiftMathematicsEasyThree Dimensional Geometry249× since 2002

Consider the three planes P₁ : 3x + 15y + 21z = 9, P₂ : x

-

-

z = 5, and P₃ : 2x + 10y + 14z = 5 Then, which one of the following is true?

JEE Main 2021 · 26 Feb, Morning shift · Q2580

JEE Main 202126 Feb, Morning shiftMathematicsEasyThree Dimensional Geometry249× since 2002

Consider the three planes P₁ : 3x + 15y + 21z = 9, P₂ : x

-

-

z = 5, and P₃ : 2x + 10y + 14z = 5 Then, which one of the following is true?