AP EAMCET · Maths · Quadratic Equation
The integral value of \(k\) for which \(x^2-2(4 k-1) x+15 k^2-2 k-7>0\) for all \(x \in \mathbb{R}\) is
- A \(2\)
- B \(3\)
- C \(1\)
- D \(4\)
Answer & Solution
Correct Answer
(B) \(3\)
Step-by-step Solution
Detailed explanation
\(\Delta \([-2(4k-1)]^2 - 4(1)(15k^2-2k-7) \(4(16k^2 - 8k + 1) - 4(15k^2 - 2k - 7) \(k^2 - 6k + 8 \((k-2)(k-4) \(2 \(k = 3\)
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