Q.

The range of a for which the equation x2 + ax - 4 = 0 has its smaller root in the interval (- 1, 2) is

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a

(−∞,−3)

b

(0, 3)

c

(0,∞)

d

(−∞,−3)∪(0,∞)

answer is A.

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Detailed Solution

Clearly, f(-1) > 0, f(2) < 0.Now,f(0)=−4<0⇒ f(−1)=1−a−4>0and f(2)=4+2a−4<0⇒ a<−3 and a<0⇒ a∈(−∞,−3)
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