If a, b be the roots of $${{x}^{2}}+px+q=0$$ and $$\alpha +h,\,\beta +h$$ are the roots of $${{x}^{2}}+rx+s=0$$, then [AMU 2001]

Question

TuteeHUB · Accepted Answer

$$p{{r}^{2}}=q{{s}^{2}}$$

TuteeHUB · Answer

$$\frac{p}{r}=\frac{q}{s}$$

TuteeHUB · Answer

$$2h=\left[ \frac{p}{q}+\frac{r}{s} \right]$$

TuteeHUB · Answer

$${{p}^{2}}-4q={{r}^{2}}-4s$$

1.	If a, b be the roots of \[{{x}^{2}}+px+q=0\] and \[\alpha +h,\,\beta +h\] are the roots of \[{{x}^{2}}+rx+s=0\], then [AMU 2001]
A.	\[\frac{p}{r}=\frac{q}{s}\]
B.	\[2h=\left[ \frac{p}{q}+\frac{r}{s} \right]\]
C.	\[{{p}^{2}}-4q={{r}^{2}}-4s\]
D.	\[p{{r}^{2}}=q{{s}^{2}}\]
Answer» D. \[p{{r}^{2}}=q{{s}^{2}}\]

If a, b be the roots of \[{{x}^{2}}+px+q=0\] and \[\alpha +h,\,\beta +h\] are the roots of \[{{x}^{2}}+rx+s=0\], then [AMU 2001]