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Question

Which of the following satisfies the equation a2b2x2b2xa2x+1=0?

A
1b2
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B
1b2
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C
±1b2
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D
1a2
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Solution

The correct option is B 1b2
Here, we need to find the roots of the given quadratic equation.

a2b2x2b2xa2x+1=0
b2x(a2x1)1(a2x1)=0
(a2x1)(b2x1)=0
x=1a2 or 1b2

1a2 and 1b2 are the roots of the given quadratic equation and hence, will staisfy the equation.

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