In R3, 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 P1:x+2y−z+1=0 and P2:2x−y+z−1=0. Let M be the locus of the feet of the perpendiculars drawn from the points on L on the plane P1. Which of the following points lie(s) on M ?

In R3, Let L be a straight line passing through the origin. Suppose th

1.	In R3, 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 P1:x+2y−z+1=0 and P2:2x−y+z−1=0. Let M be the locus of the feet of the perpendiculars drawn from the points on L on the plane P1. Which of the following points lie(s) on M ?
Answer» 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 $P_{1} : x + 2 y - z + 1 = 0$ and $P_{2} : 2 x - y + z - 1 = 0.$ Let $M$ be the locus of the feet of the perpendiculars drawn from the points on $L$ on the plane $P_{1} .$ Which of the following points lie(s) on $M ?$