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Question

If  α and β are the zeroes of x24x+1, then  find the value of 1α+1βαβ.
 


A
3
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B
5
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C
-5
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D
-3
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Solution

The correct option is B 3
x24x+1=0
Zeroes are  α & β
1α+1βαβ=?
 α+βαβαβ=?
For an equation ax2+bx+c=0
Sum of zeros  = ba
Product of zeros = ca
 α+β=4&αβ=1
 1α+1βαβ=α+βαβαβ
=411
=41
 1α+1βαβ=3

All India Test Series

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