JEE Main 2026 Mathematics question
Let for some r,p∈ℝ. If the set of all possible values of q, such that the roots of the equation rx²−px+q=0 lie in (0,2), be the interval (α,β], then 4(α+β) equals:
Answer: (C)
Solution
Since tan(x−2)/(x−2)→1, the quadratic must vanish at x=2: 4r+2(p−2)−2p=0 gives r=1, and then x²+(p−2)x−2p=(x−2)(x+p), so the limit is 2+p=5,
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