Given below are two statements : Statement I : The function f: R \rightarrow R defined by f(x)= {x}/{1+|x{{}/{} |} is one-one. Statement II : The function f: R \rightarrow R defined by f(x)=\frac{x^2+4 x-30}{x^2-8 x+18} is many-one. In the light of the above statements, choose the correct answer from the options given below : [28 Jan 2026 Shift 2]

Correct Answer is : Both Statement I and Statement II are true

Statement I is true but Statement II is false

Both Statement I and Statement II are false

Both Statement I and Statement II are true

Statement I is false but Statement II is true

JEE Main 28 Jan 2026 Shift 2 Paper Solved Paper

Section: Mathematics

Question : 6 of 75

Marks: +1, -0

Given below are two statements :
Statement I : The function f:R⟶R defined by f(x)=‌

1+|x

‌

is one-one.
Statement II : The function f:R⟶R defined by f(x)=‌

x2+4x−30

x2−8x+18

is many-one.
In the light of the above statements, choose the correct answer from the options given below :

[28 Jan 2026 Shift 2]

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