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Meningeal Irritation Signs:
| Sign | Test | Positive Finding |
|---|---|---|
| Brudzinski's Sign | Passive neck flexion (supine patient) | Involuntary flexion of hips and knees |
| Kernig's Sign | Hip and knee flexed to 90°; attempt to extend knee | Resistance/pain — cannot fully extend (positive if <135°) |
| Nuchal rigidity | Passive neck flexion | Resistance; chin cannot touch chest |
The question describes Brudzinski's sign first (neck flexion → knee/hip flex), then Kernig's sign (hip-knee 90° → cannot extend knee).
Meningitis management (bacterial):
- IV Ceftriaxone \(100\,\text{mg/kg/day}\) in 2 divided doses
- Dexamethasone \(0.15\,\text{mg/kg}\) IV every 6 hrs × 4 days (reduces inflammation, hearing loss)
- Isolate patient for first 24 hrs of antibiotics
CSF findings in bacterial meningitis: Turbid, \(\uparrow\) WBC (neutrophils), \(\downarrow\) glucose, \(\uparrow\) protein, positive culture/Gram stain.
A particle moves along a straight line with constant acceleration, changing speed from $10\text{ m/s}$ to $20\text{ m/s}$ while covering $135\text{ m}$. The time taken is:
Using $v^2 - u^2 = 2as$: $(20)^2 - (10)^2 = 2a(135) \Rightarrow 300 = 270a \Rightarrow a = \dfrac{10}{9}\text{ m/s}^2$
Using $v = u + at$: $20 = 10 + \dfrac{10}{9}t \Rightarrow t = \mathbf{9\text{ s}}$
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