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JEE Math Practice Question

If 2 and 6 are the roots of the equation $$a x^2+b x+1=0$$, then the quadratic equation, whose roots are $$\frac{1}{2 a+b}$$ and $$\frac{1}{6 a+b}$$, is :

  1. A.$$x^2+8 x+12=0$$
  2. B.$$2 x^2+11 x+12=0$$
  3. C.$$4 x^2+14 x+12=0$$
  4. D.$$x^2+10 x+16=0$$

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