Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

Let the equation a x^2-b x+c=0 has 2 distinct roots in the interval (0,1) where a, b, c N . If ₅(a b c) for all choices of natural numbers a, b, c then non-negative integral values of can be:

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Correct answer

C. 2

Step-by-step solution

f(x)=a x^2-b x+c S.R. = b a 0 b^2>4 a c ...(3) To find minimum value of a b cf(0)=c>0 ; C_ min. =1 array llll & (3) & & b^2>4 a (1) & & b 0 a-b+c>0 ; a+1>b aligned & ₅ 25 & 2 aligned

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