Q73.Let ๐ and ๐ be any points on the curves ๐ฅ- 12 + ๐ฆ+ 12 = 1 and ๐ฆ= ๐ฅ2, respectively. The distance between ๐ and ๐ is minimum for some value of the abscissa of ๐ in the interval 1 1 3 (1) 0, (2) 4 2, 4 1 1 3 (3) 4, 2 (4) 4, 1
What This Question Tests
This question involves setting up the distance function between two points on different curves, and then using differentiation to find the minimum distance and the corresponding abscissa interval.
Concepts Tested
Formulas Used
Distance = โ((xโ-xโ)ยฒ + (yโ-yโ)ยฒ)
First derivative test
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๐ Question Details
- Chapter
- Applications of Derivatives
- Topic
- Minimizing distance between curves
- Year
- 2022
- Shift
- 26 Jul Shift 2
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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