CAT 2021 Question Paper | CAT Verbal Ability Slot 1
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7 months ago
Question :
Option B
is the correct answer.
Explanatory Answer
|x2 - 4x - 13| = r has exactly three distinct real roots.
Let's complete the squares of the quadratic equation.
|(x - 2)2 - 17| = r
(x - 2)2 - 17 = r and (x - 2)2 - 17 = -r
(x - 2)2 = r + 17 and (x - 2)2 = -r + 17
Hence, we get exactly three roots when r = 17.
The answer is 17.
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