Q66.Let the locus of the mid points of the chords of circle ๐ฅ2 + ๐ฆโ12 = 1 drawn from the origin intersect the line ๐ฅ+ ๐ฆ= 1 at ๐ and ๐. Then, the length of ๐๐ is: 1 (1) (2) โ2 โ2 1 (3) (4) 1 2
What This Question Tests
This question involves determining the locus of midpoints of chords drawn from the origin to a given circle, finding the intersection points of this locus with a line, and finally calculating the distance between these points.
Concepts Tested
Formulas Used
Equation of chord T = S1
Distance formula d = โ((x2-x1)ยฒ + (y2-y1)ยฒ)
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๐ Question Details
- Chapter
- Circles
- Topic
- Locus of midpoint of chord
- Year
- 2024
- Shift
- 01 Feb Shift 2
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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