Form another quadratic equation whose roots are reciprocal of the quadratic equation 3x2 - 11x + 13 = 0.
Explanation:
To form a quadratic equation whose roots are reciprocal of the roots of ax2 + bx + c = 0, we substitute x with 1/x in this equaiton.
∴ The required equation is
31x2 - 111x + 13 = 0
⇒ 3 - 11x + 13x2 = 0
⇒ 13x2 - 11x + 3 = 0
Hence, option (c).
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