Line and plane

JEE Main Mathematics · 3D Geometry · 4 questions, latest first

• Let the line l: x=(1-y)/-2=(z-3)/(λ), λ ∈ R meet the plane P: x+2 y+3 z=4 at the point (α, β, γ). If the angle between the line l…202311 April, Shift 2 · Q28
• Let P be the point of intersection of the line (x+3)/3=(y+2)/1=(1-z)/2 and the plane x+y+z=2. If the distance of the point P from…202310 April, Shift 1 · Q14
• For a, b ∈ Z and |a-b| ≤ 10, let the angle between the plane P: a x+y-z=b and the line l: x-1=a-y=z+1 be cos^-1(1/3). If the…20238 April, Shift 2 · Q14
• Let the plane P: 8 x+α_1 y+α_2 z+12=0 be parallel to the line L: (x+2)/2=(y-3)/3=(z+4)/5. If the intercept of P on the y -axis is…202331 January, Shift 2 · Q77