Q85.The locus of a point, which moves such that the sum of squares of its distances from the points (0, 0), (1, 0), (0, 1)(1, 1) is 18 units, is a circle of diameter d. Then d2 is equal to −1), for x ≤0 2 (x
What This Question Tests
The question asks for the locus of a point whose sum of squares of distances from given points is constant, which simplifies to the equation of a circle, allowing direct calculation of its diameter.
Concepts Tested
Formulas Used
Distance formula: √((x₂-x₁)² + (y₂-y₁)²)
Equation of a circle: (x-h)² + (y-k)² = r²
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📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Locus of a point
- Year
- 2021
- Shift
- 26 Aug Shift 1
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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