The condition that roots of the equation x 3- px 2- qx - r -0 may be in A-P is-A- 2 p 3-9 p 2 q 2-27-0B- 2 p 3-9 pq -27 r -0C- 2 p 3-9 pq -0D- 2 p 2-3 pq -0

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The condition...

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The condition that roots of the equation $x^{3} - p x^{2} + q x - r = 0$ may be in A.P is:

2 p^{3} - 9 p q + 27 r = 0

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2 p^{3} - 9 p^{2} q^{2} - 27 = 0

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2 p^{3} - 9 p q = 0

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2 p^{2} - 3 p q = 0

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x^{3} + p x^{2} + q x + r = 0

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x^{3} - 12 x^{2} + 34 x - 28 = 0

x^{3} - p x^{2} + q x - r = 0

x^{3} - p x^{2} + q x - r = 0

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