alleryThe Cartesian equation (x-1)/2 = (y-2)/3 = (z-3)/4 represents
Aa plane through (1,2,3) with normal (2,3,4)
Ba sphere centred at (1,2,3) with radius 4
Ca line through (1,2,3) along ratios (2,3,4)
Da parabola through (1,2,3) in plane (2,3,4)
Answer & Solution
Correct answer: C. a line through (1,2,3) along ratios (2,3,4)
1. The form (x-x₁)/a = (y-y₁)/b = (z-z₁)/c is the symmetric form of a line.
2. The line passes through the fixed point (x₁, y₁, z₁) = (1, 2, 3).
3. The denominators a, b, c are the direction ratios = (2, 3, 4).
4. So option C is correct.
_Source: syllabus Maths Part 2 Ch 11 "Three Dimensional Geometry", §11.3.1_
Keep practising Vector Algebra and 3D Geometry
Browse all Vector Algebra and 3D Geometry questions for AP Intermediate 2nd Year, or explore more Mathematics topics.
Related questions