JEE Main Mathematics question

Mathematics Quadratic Equations and Inequalities JEE Main

If the sum of the roots of the quadratic equation is equal to the sum of the square of their reciprocals, then and are in

(A)Arithmetic progression
(B)Geometric progression
(C)Harmonic progressionCorrect
(D)Arithmetico-geometric progression

Answer: (C)

Solution

gives . Dividing by : , i.e. the reciprocals $ ca, ab,

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Question ID VK-013467