1
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{g}(x)=1+\sqrt{x}$$ and $$\mathrm{f}(\mathrm{g}(x))=3+2 \sqrt{x}+x$$ then $$\mathrm{f}(\mathrm{f}(x))$$ is

A
$$x^2+4 x+6$$
B
$$x^4+x^2+6$$
C
$$x^2+x+6$$
D
$$x^4+4 x^2+6$$
2
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The approximate value of $$\sin \left(60^{\circ} 0^{\prime} 10^{\prime \prime}\right)$$ is (given that $$\sqrt{3}=1.732,1^{\circ}=0.0175^{\circ}$$ )

A
0.08660243
B
0.0008660243
C
0.8660243
D
0.008660243
3
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{f}(x)=\frac{3 x+4}{5 x-7}$$ and $$\mathrm{g}(x)=\frac{7 x+4}{5 x-3}$$, then $$\mathrm{f}(\mathrm{g}(x))=$$

A
$$\frac{x^3+1}{x^2+2}$$
B
$$41 x$$
C
$$\mathrm{g}(\mathrm{f}(x))$$
D
$$\frac{5 x-7}{41}$$
4
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The domain of the function given by $$2^x+2^y=2$$ is

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