If _ x 1 (3x^2-4x+1)-x^2+1 2x^3-7x^2+ax+b =-2, then the quadratic equation having roots a and b is

MHT CET 2026 Mathematics question

If , then the quadratic equation having roots and is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

At the numerator is , so for a finite non-zero limit the denominator must also vanish: . Apply L'Hospital: numerator derivative at ; denominator derivative . If the limit would be ,

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Question ID VK-100162