If the roots of the equation \(px^{2} + x + r = 0\) are reciprocals of each other, which one of the…
The condition is p = r. If the roots are α and 1/α, their product is 1, and for \(px^{2} + x + r = 0\) the product of the roots is r/p. So r/p = 1, giving p = r. Relations…
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If the roots of the equation are reciprocals of each other, which one of the following is correct?
Answer and explanation
Correct answer B
The condition is p = r. If the roots are α and 1/α, their product is 1, and for the product of the roots is r/p. So r/p = 1, giving p = r. Relations such as p = 2r or p = 4r would make the product of the roots ½ or ¼, not 1.
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Common Management Admission Test (CMAT)