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Q.

If a is an integer lying in [- 5, 30], then the probability that the graph of y = x2 + 2 (a + 4)x - 5a + 64 is strictly above the x-axis is

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a

16

b

736

c

29

d

35

answer is C.

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Detailed Solution

35x2+2(a+4)x−5a+64≥0If D < 0, then(a+4)2−(−5a+64)<0or a2+13a−48<0or (a+16)(a−3)<0⇒ −16

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