IPMAT Indore 2023 QA: Let a1, a2, a3 be three distinct real numbers in geometric progression. If ...

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Let a1, a2, a3 be three distinct real numbers in geometric progression. If the equations a1x2 + 2a2x + a3 = 0 and b1x2 + 2b2x + b3 = 0 have a common root, then which of the following is necessarily true?
a. b1, b2, b3 are in arithmetic progression
b. b1, b2, b3 in geometric progression
c. b_1/a_1 ,b_2/a_2 ,b_3/a_3 are in arithmetic progression
d. b_1/a_1 ,b_2/a_2 ,b_3/a_3 are in geometric progression
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