Question:
The number of integral values of λ for which
x²+y²+λ x+(1-λ)y+5=0
is the equation of a circle whose radius cannot exceed 5, is
The number of integral values of λ for which
x²+y²+λ x+(1-λ)y+5=0
is the equation of a circle whose radius cannot exceed 5, is
Show Hint
Always compute radius from standard form of circle.
Updated On: Mar 19, 2026
- \(14\)
- \(18\)
- \(16\)
- None
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The Correct Option is C
Solution and Explanation
Radius:
r²=(λ²+(1-λ)²)/(4)-5
Condition r\le5 gives 16 integer values.
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