A) \[3{{x}^{2}}+8xy-3{{y}^{2}}=0\]
B) \[3{{x}^{2}}+10xy-3{{y}^{2}}=0\]
C) \[{{y}^{2}}+2xy-3{{x}^{2}}=0\]
D) \[{{x}^{2}}+2xy-3{{x}^{2}}=0\]
Correct Answer: B
Solution :
| \[a{{m}^{2}}+2m+1=0\] |
| \[{{m}^{2}}+2m+a=0\] |
| common root m = 1 |
| other roots \[=1/a,\,\,a;\,\,a+1=-\,2\Rightarrow a=-\,3\] |
| \[{{m}^{2}}-(a+1/a)m+1=0\]\[\Rightarrow {{x}^{2}}-(a+1/a)xy+{{y}^{2}}=0\]\[\Rightarrow {{x}^{2}}-\left( -3-\frac{1}{3} \right)xy+{{y}^{2}}=0\]\[\Rightarrow 3{{x}^{2}}+10xy+3{{y}^{2}}=0\] |
You need to login to perform this action.
You will be redirected in
3 sec
