Angle between planes and bisecting planes

JEE Main Mathematics · 3D Geometry · 2 questions, latest first

• Let θ be the angle between the planes P_1: r ·( i+ j+2 k)=9 and P_2: r ·(2 i- j+ k)=15. Let L be the line that meets P_2 at the…202331 January, Shift 1 · Q90
• If λ_1<λ_2 are two values of λ such that the angle between the planes P_1: r(3 i-5 j+ k)=7 and P_2: r ·(λ i+ j-3 k)=9 is…202330 January, Shift 1 · Q88