Line direction b=(3,2,6), plane normal n=(2,10,−11).
sinθ=∣b∣∣n∣∣b⋅n∣=49⋅225∣6+20−66∣=7⋅1540=218.
So θ=sin−1(218).
The angle between the line x+2 3 = y-3 2 = z+5 6 and the plane 2x + 10y - 11z = 5 is:
CUET UG 2023 — Mathematics Geometry
2023mcqmedium
The angle between the line 3x+2=2y−3=6z+5 and the plane 2x+10y−11z=5 is:
Official previous-year question
Held on 25 May 2023 · Verified 13 Jul 2026.
Options
- A
cos−1(218)
- B
sin−1(218)
- C
cos−1(8221)
- D
sin−1(8221)
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