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Q.

For x2 - (a + 3) |x| + 4 = 0 to have real solutions, the range of a is

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a

(−∞,−7]∪[1,∞)

b

(−3,∞)

c

(−∞,−7]

d

[1,∞)

answer is D.

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Detailed Solution

a=x2+4|x|−3=|x|+4|x|−3=|x|−2|x|2+1⇒ a≥1
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For x2 - (a + 3) |x| + 4 = 0 to have real solutions, the range of a is