MHT CET · Maths · Quadratic Equation
With usual notations in \(\triangle \mathrm{ABC}\), if \(\angle \mathrm{B}=\frac{\pi}{2}\), and \(\tan \frac{\mathrm{A}}{2}, \tan \frac{\mathrm{C}}{2}\) are roots of equation \(\mathrm{p} x^2+\mathrm{q} x+\mathrm{r}=0\), \(\mathrm{p} \neq 0\), then
- A \(\mathrm{p}+\mathrm{q}=\mathrm{r}\)
- B \(r+p=q\)
- C \(r=p\)
- D \(\mathrm{p}=\mathrm{q}\)
Answer & Solution
Correct Answer
(A) \(\mathrm{p}+\mathrm{q}=\mathrm{r}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{A}+\mathrm{C} = \pi - \mathrm{B} = \pi - \frac{\pi}{2} = \frac{\pi}{2}\) \(\frac{\mathrm{A}}{2} + \frac{\mathrm{C}}{2} = \frac{\pi}{4}\)
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