If a, b, c ∈ R and 1 is a root of equation ax^2 + bx + c = 0, then the curve y = 4ax^2 + 3bx + 2c, a ≠ 0 intersect x-axis at

JEE Main 2012 Mathematics question

If a, b, c ∈ R and 1 is a root of equation , then the curve , a ≠ 0 intersect x-axis at

Answer: (3)

1 is a root, so a + b + c = 0, i.e. b = −(a + c). The discriminant of is . As a quadratic form this is positive definite ($ <

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Question ID VK-103685