1
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The range of the function $$\mathrm{f}(x)=\frac{x^2}{x^2+1}$$ is

A
$$(0,1)$$
B
$$[0,1)$$
C
$$(0,1]$$
D
$$[0,1]$$
2
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The function $$\mathrm{f}(x)=[x] \cdot \cos \left(\frac{2 x-1}{2}\right) \pi$$, where $$[\cdot]$$ denotes the greatest integer function, is discontinuous at

A
all irrational numbers $$x$$.
B
no $$x$$.
C
all integer points.
D
every rational $$x$$ which is not an integer.
3
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The domain of the definition of the function $$y(x)$$ is given by the equation $$2^x+2^y=2$$ is

A
$$0< x \leq 1$$
B
$$0 \leq x \leq 1$$
C
$$-\infty < x \leq 0$$
D
$$-\infty< x < 1$$
4
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$3 \mathrm{f}(x)-\mathrm{f}\left(\frac{1}{x}\right)=8 \log _2 x^3, x>0$$, then $$\mathrm{f}(2), \mathrm{f}(4)$$, $$f(8)$$ are in

A
A.P.
B
G.P.
C
H.P.
D
Arithmetico Geometric Progression
MHT CET Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12