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Most Important Selected Qs for JEE AdvancedMathematicsSequences and Series

If x, y, z are in A.P. and ⁻¹ x, ⁻¹ y and ⁻¹ z are also in A.P., then:

Options

  1. A6x = 3y = 2z
  2. B6x = 4y = 3z
  3. Cx = y = z
  4. D2x = 3y = 6z

Correct answer

C. x = y = z

Step-by-step solution

aligned & 2 ⁻¹ y= ⁻¹ x+ ⁻¹ z ⁻¹ 2 y 1-y^2 = ⁻¹ x+z 1-x z & y^2=x z & also 2 y=x+z & x=z=y (x, y, z are in A.P. and G.P. ) aligned

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