| If roots of the equation \[3{{x}^{2}}-6x+5=0\]are \[\alpha \] and \[\beta ,\] then the equation having the roots \[\frac{1}{\alpha }\] and \[\frac{1}{\beta }\] is |
A) \[5{{x}^{2}}-6x-3=0\]
B) \[5{{x}^{2}}-6x+3=0\]
C) \[5{{x}^{2}}+6x+3=0\]
D) \[5{{x}^{2}}+6x-3=0\]
Correct Answer: B
Solution :
| Since, \[\alpha \] and \[\beta \] are roots of the equation |
| \[3{{x}^{2}}-6x+5=0\] |
| \[\therefore \] The equation with roots as \[\frac{1}{\alpha }\] and \[\frac{1}{\beta }\] is |
| \[5{{x}^{2}}-6x+3=0\] |
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