Q81.Let α, β be the roots of the equation x2 −x + 2 = 0 with Im (α) >Im (β). Then α6 + α4 + β4 −5α2 is equal to
What This Question Tests
This problem is multi-conceptual, requiring calculation of a centroid using a midpoint, finding the intersection point of two 3D lines, and finally calculating the distance between two points in 3D.
Concepts Tested
Formulas Used
Midpoint = ((x1+x2)/2, ...)
Centroid = ((x1+x2+x3)/3, ...)
Parametric form of line
Distance = √((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2)
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Centroid of a triangle and intersection of lines
- Year
- 2024
- Shift
- 29 Jan Shift 1
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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