Plane through the intersection of two planes

JEE Main Mathematics · 3D Geometry · 9 questions, latest first

• Let the plane P contain the line 2 x+y-z-3=0=5 x-3 y+4 z+9 and be parallel to the line (x+2)/2=(3-y)/-4=(z-7)/5. Then the…202315 April, Shift 1 · Q29
• Let the equation of plane passing through the line of intersection of the planes x+2 y+a z=2 and x-y+z=3 be 5 x-11 y+b z=6 a-1.…202313 April, Shift 1 · Q8
• Let the plane P: 4 x-y+z=10 be rotated by an angle (π)/2 about its line of intersection with the plane x+y-z=4. If α is the…202312 April, Shift 1 · Q14
• If the equation of the plane containing the line x+2 y+3 z-4=0=2 x+y-z+5 and perpendicular to the plane r=( i- j)+λ( i+ j+ k)+μ(…20238 April, Shift 1 · Q15
• A plane P contains the line of intersection of the plane r ·( i+ j+ k)=6 and r ·(2 i+3 j+4 k)=-5. If P passes through the point…20236 April, Shift 2 · Q15
• If the equation of the plane passing through the line of intersection of the planes 2 x-y+z=3,4 x-3 y+5 z+9=0 and parallel to the…20236 April, Shift 1 · Q13
• Let the plane P pass through the intersection of the planes 2 x+3 y-z=2 and x+2 y+3 z=6, and be perpendicular to the plane 2…20231 February, Shift 2 · Q74
• Let the equation of the plane passing through the line x-2 y-z-5=0=x+y+3 z-5 and parallel to the line x+y+2 z-7=0=2 x+3 y+z-2 be…202325 January, Shift 1 · Q89
• Let the plane containing the line of intersection of the planes P 1: x+(λ+4) y+z=1 and P 2: 2 x+ y+z=2 pass through the points…202324 January, Shift 2 · Q76