JEE Main 31-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 22 of 90

Marks: +1, -0

Let a,b,c be the length of three sides of a triangle satisfying the condition (a2+b2)x2−2b(a+c). x+(b2+c2)=0. If the set of all possible values of x is the interval (α,β), then 12(α2+β2) is equal to____

[31-Jan-2024 Shift 2]

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a+ax>bx‌	ax+bx>a‌	ax2+a>ax
a+ax>ax2‌	ax+ax2>a‌	x2−x+1>0
x2−x−1<0	x2+x−1>0	‌ always true ‌