The possible value of sin–1(x2 + 4x + 5) is

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Q. The value of a for which

x^{2} + a x + {s i n}^{- 1} (x^{2} - 4 x + 5) + {c o s}^{- 1} (x^{2} - 4 x + 5) = 0

has at least one solution is

Q. The value of

s i n^{- 1} (x^{2} - 4 x + 6) + c o s^{- 1} (x^{2} - 4 x + 6)

for all

x ϵ R

Q. The set of values of

a

for which

x^{2} + a x + {sin}^{- 1} (x^{2} - 4 x + 5) + {cos}^{- 1} (x^{2} - 4 x + 5) = 0

has at least one solution is

Q. The set of value(s) of

a

for which

x^{2} + a x + {sin}^{- 1} (x^{2} - 4 x + 5) + {cos}^{- 1} (x^{2} - 4 x + 5) = 0

has at least one solution is

The value of $a = - λ - \frac{π}{μ}$ , such that $x^{2} + a x + s i n^{- 1} (x^{2} - 4 x + 5) + c o s^{- 1} (x^{2} - 4 x + 5) = 0$ has atleast one solution. Then $λ + μ$ is equal to

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