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IPMAT Question Paper 2023 | IPM Indore Quantitative Ability

IPMAT Question Paper | Question 34

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Question 34 :Let a1,a2,a3 be three distinct real nubers in geometric progression. If the eqations a1x2+2a2x+ a3=0 and b1x2+2b2x+b3+=0 have a common root, then which of the following is necessarily ture?

  1. b1a1,b2a2,b3a3 are in arithmetic progression
  2. b1,b2,b3 are in arithmetic progression
  3. b1a1,b2a2,b3a3 are in geometric progression
  4. b1,b2,b3 are in geometric progression

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The question is "Let a1,a2,a3 be three distinct real nubers in geometric progression. If the eqations a1x2+2a2x+ a3=0 and b1x2+2b2x+b3+=0 have a common root, then which of the following is necessarily ture?"

Hence, the answer is 'b1a1,b2a2,b3a3 are in arithmetic progression'

 

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