Home › Maharashtra HSC Class 12 (Science) › mathematics › Line and Plane › Equation of x-axis in 3D is
Equation of x-axis in 3D is
Ax = 0, z = 0
Bx = 0, y = 0
Cy = z = 1
Dy = 0, z = 0
Answer & Solution
Correct answer: D. y = 0, z = 0
1. The x-axis is the set of points whose y and z coordinates vanish.
2. Hence its equations are y = 0 and z = 0 simultaneously.
3. Direction ratios are (1, 0, 0).
_Source: Maharashtra Balbharati Std XII Mathematics Part 1, Ch 6 "Line and Plane" §6.2_
Related questions
The plane x + y + z = 3 cuts intercepts on the coordinate axes equal toAngle between line with direction ratios (2, 1, 2) and plane 3x − 2y + 6z + 1 = 0Shortest distance between two skew lines is the length of the commonIf l, m, n are direction cosines of a line thenTwo planes a₁x + b₁y + c₁z = d₁ and a₂x + b₂y + c₂z = d₂ are perpendicular iffPerpendicular distance from the point (1, 2, 3) to the plane 2x + 3y + 6z − 7 = 0 isEquation of a plane passing through point with position vector a and having normal n isTwo lines r = a₁ + s b₁ and r = a₂ + t b₂ are parallel iff