MCQ
The number of integral values of $\lambda $ for which $x^2 + y^2 + \lambda x + (1 - \lambda )y + 5 = 0$ is the equation of a circle whose radius cannot exceed $5$ , is
- A$14$
- B$18$
- ✓$16$
- DNone of these
$\Rightarrow 2 \lambda^{2}-2 \lambda-119 \leq 0$
$\therefore \frac{1-\sqrt{239}}{2} \leq \lambda \leq \frac{1+\sqrt{239}}{2} $
$\Rightarrow-7.2 \leq \lambda \leq 8.2(\text { nearly }) $
$\therefore \lambda=-7,-6, \ldots, 8$
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