For which of the following values of a and b, f(x) = a – x2 + 1 and g(x) = x2 + b + 3 and f(2) g(1) < 0 holds true.
For which of the following values of a and b, f(x) = a – x2 + 1 and g(x) = x2 + b + 3 and f(2) g(1) < 0 holds true.
Option 1 -
a < 3, b > 4
Option 2 -
a > 3, b < 4
Option 3 -
a > 2, b < 3
Option 4 -
a < 2, b > 4
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:f (x) = x – x2 + 1
g (x) = x2 + b + 3
f (2) g (1) < 0
(a – 4 + 1) (1 + 6 + 3) < 0
(a – 3) (b + 4) < 0
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