Q.

The equation whose roots are reciprocal of the roots of the equation3x2-20x+17=0 is

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a

3x2+20x-17=0

b

17x2-20x+3=0

c

17x2+20x+3=0

d

None of these

answer is B.

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Detailed Solution

Given equation 3x2-20x+17=0⇒(x-1)(3x-17)=0⇒x=1, 173Reciprocal roots are 1 and 317∴Equation is x2-(1+317)x+317=0⇒17x2-20x+3=0
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The equation whose roots are reciprocal of the roots of the equation3x2-20x+17=0 is