Mathematics - Circle Question with Solution | TestHub
MathematicsCircleMiscellaneous/MixedMedium2 minQB
MathematicsMediummatching list
Match each condition with every containing set of -values.
Column I | Column II |
|---|---|
(A) x²+y²+2x+c=0 and x²+y²+2y+c=0 touch | (p) c=1 |
(B) x²+y²+2x+3y+c=0 and x²+y²−x+2y+c=0 meet orthogonally | (q) |c|<2 |
(C) x²+y²=9 contains x²+y²−2x+1−c²=0 | (r) c=1/2 |
(D) x²+y²=9 is contained in x²+y²−6x−8y+25−c²=0 | (s) |c|>8 |
| (t) 2<|c|<8 |
Options:
Answer:
A
Solution:
A: internal tangency of equal-radius circles is impossible except coincident; external tangency forces . B: orthogonality gives . C: the small radius is and centre distance 1 , so strict inclusion gives (boundary conventions may change this). D: centre distance 5 and enclosing radius give . The source uses and instead of absolute values, silently assuming ; flag its missing domain restriction.
Stream:JEESubject:MathematicsTopic:CircleSubtopic:Miscellaneous/Mixed
⏱ 2mℹ️ Source: QB
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