In R^3, let L be a straight line passing through the origin. Suppose that all the points on L are at a constant dist

### Question Asked by a Student from EXXAMM.com Team

Q 1658167904.     In R^3, let L be a straight line passing through the origin. Suppose that all the points on L are at a constant distance from the two planes P_1:x+2y-z+1-=0 and P_2:2x-y+z-1=0. Let M be the locus of the feet of the perpendiculars drawn from the points on L to the plane P_1. Which of the following points lie(s) on M?

(This question may have multiple correct answers)

A  (0, - frac {5}{6}, - frac {2}{3 })
B (- frac {1}{6}, - frac {1}{3}, frac {1}{6} )
C (- frac {5}{6}, 0, frac {1}{6} )
D (- frac {1}{3}, 0, frac {2}{3} )

#### HINT

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

#### Access free resources including

• 100% free video lectures with detailed notes and examples
• Previous Year Papers
• Mock Tests
• Practices question categorized in topics and 4 levels with detailed solutions
• Syllabus & Pattern Analysis