The graph of the function y=16x^2+8(a+5)x-7a-5 is strictly above the x-axis, then a' must satisfy the inequality

JEE Main Mathematics question

The graph of the function is strictly above the -axis, then must satisfy the inequality

Answer: (A)

An upward parabola lies strictly above the -axis iff its discriminant is

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Question ID VK-014054