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Limits, Continuity and Differentiability Part 3

Section: Mathematics
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Question : 13 of 69
 
Marks: +1, -0
For t>−1, let αt and βt be the roots of the equation ((t+2)‌
1
7
−1)x2+((t+2)‌
1
6
−1)x+((t+2)‌
1
21
−1)=0 If
lim
t⟶−1+
αt=a and
lim
t⟶−1+
βt=b, then 72(a+b) ‌2 is equal to ____ .
[7 Apr 2025 Shift 2]
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