If $\alpha, \beta$ are the roots of $x^2-3 x+a=0$ and $\gamma, \delta$ are the roots of $x^2-12 x+b=0$ and…

If $\alpha, \beta$ are the roots of $x^2-3 x+a=0$ and $\gamma, \delta$ are the roots of $x^2-12 x+b=0$ and $\alpha, \beta, \gamma, \delta$ in that order form a geometric progression in increasing order with common ratio $r>1$, then $a+b=$
  1. $16$
  2. $28$
  3. $34$
  4. $42$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 2)

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