99 Percentile Qs Bank for JEE MainMathematicsFunctions

The domain of the function f (x)= ⁻¹ ( |x|+5 x^2+1 ) is (- ,-a] [a, ) . Then a is equal to

Options

A17 2 +1
B17 -1 2
C1+ 17 2
D17 2 -1

Correct answer

C. 1+ 17 2

Step-by-step solution

f(x)= ⁻¹ ( |x|+5 x^2+1 ) f (x) is defined, if aligned & -1 |x|+5 x^2+1 1 & 0 |x|+5 x^2+1 1 & x^2-|x|-4 0 & (|x|- 1- 17 2 ) (|x|- 1+ 17 2 ) 0 & |x| 1+ 17 2 & or |x| 1- 17 2 , which is not possible & x (- ,- 1+ 17 2 ] [ 1+ 17 2 , ) & a = 1+ 17 2 aligned

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