Q79.If the mirror image of the point (1, 3, 5) with respect to the plane 4x −5y + 2z = 8 is (α, β, γ), then 5(α + β + γ) equals : (1) 43 (2) 47 (3) 41 (4) 39
What This Question Tests
This question tests the ability to find the mirror image of a point with respect to a given plane, using the properties of the perpendicular line connecting the point and its image.
Concepts Tested
Formulas Used
(x-x1)/a = (y-y1)/b = (z-z1)/c = -2(ax1+by1+cz1+d)/(a^2+b^2+c^2)
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Mirror image of a point in a plane
- Year
- 2021
- Shift
- 26 Feb Shift 2
- Q Number
- Q79
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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