Q64.The locus of the mid-point of the line segment joining the point (4, 3) and the points on the ellipse x2 + 2y2 = 4 is an ellipse with eccentricity (1) √3 (2) 1 2 2√2 (3) 1 (4) 1 √2 2
What This Question Tests
This question tests the ability to find the locus of a midpoint, which involves using the midpoint formula and substituting coordinates into the equation of the given ellipse, then identifying the resulting conic section and its eccentricity.
Concepts Tested
Formulas Used
((x1+x2)/2, (y1+y2)/2)
x^2/a^2 + y^2/b^2 = 1
e = sqrt(1 - (minor_axis)^2 / (major_axis)^2)
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📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Locus, Ellipse
- Year
- 2022
- Shift
- 26 Jun Shift 2
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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