1
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $[x]^2-5[x]+6=0$, where $[x]$ denotes the greatest integer function, then

A
$x \in[2,3)$
B
$x \in[2,3]$
C
$x \in[2,4]$
D
$x \in[2,4)$
2
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $\mathrm{f}(x)=\frac{a x}{x+1}, x \neq-1$, then for $\alpha=$ ________, $\mathrm{f}(\mathrm{f}(x))=x$.

A
$\sqrt{2}$
B
$-\sqrt{2}$
C
1
D
$-$1
3
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The domain of 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 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

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

A
$0< x \leqslant 1$
B
$0 \leqslant x \leqslant 1$
C
$-\infty< x \leqslant 0$
D
$-\infty< x<1$
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