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TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $f: R \rightarrow R$ is defined by $f(x)=2 x+\sin x, x \in R$, then $f$ is

A
one-one and onto
B
one-one but not onto
C
onto but not one-one
D
neither one-one nor onto
2
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $t$ is a parameter, $A=(a \sec t, b \tan t)$, $B=(-a \tan t, b \sec t)$ and $O=(0,0)$, then the locus of the centroid of $\triangle O A B$ is
A
$9 x y=a b$
B
$x y=9 a b$
C
$x^2-9 y^2=a^2-b^2$
D
$x^2-y^2=\frac{1}{9}\left(a^2-b^2\right)$
3
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $f:[2, \infty) \rightarrow R$ is defined by $f(x)=x^2-4 x+5$, then the range of $f$ is
A
$R$
B
$[1, \infty)$
C
$[4, \infty)$
D
$[5, \infty)$
4
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $f(x)=-|x|$, then $($ fofof $)(x)+($ fofof $)(-x)=$
A
$-2 f(x)$
B
$|f(x)|$
C
$2 f(x)$
D
$-|f(x)|$
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