Q67.A circle touches both the ๐ฆ-axis and the line ๐ฅ+ ๐ฆ= 0. Then the locus of its center (1) ๐ฆ= โ2๐ฅ (2) ๐ฅ= โ2๐ฆ.. (3) ๐ฆ2 - ๐ฅ2 = 2๐ฅ๐ฆ (4) ๐ฅ2 โ๐ฆ2 = 2๐ฅ๐ฆ
What This Question Tests
This question tests the geometric property that the distance from the center of a circle to any tangent line is equal to its radius, leading to a locus problem.
Concepts Tested
Formulas Used
Distance from (x1, y1) to Ax+By+C=0 is |Ax1+By1+C|/โ(A^2+B^2)
Distance between two points
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๐ Question Details
- Chapter
- Circles
- Topic
- Locus of center of a circle
- Year
- 2022
- Shift
- 25 Jun Shift 2
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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