JEE Main 8 Apr 2024 Shift 2 Solved Paper

Section: Mathematics
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Question : 22 of 90
 
Marks: +1, -0
If α=
lim
x⟶0+
(‌
e√tan‌x−e√x
√tan‌x−√x
)
and β=
lim
x⟶0
(1+sin‌x)‌
1
2
‌cot
‌x
are the roots of the quadratic equation ax2+bx−√e=0, then 12 loge(a+b) is equal to _________.
[8 Apr 2024 Shift 2]
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