1
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0
The solution of the differential equation $$\mathrm{e}^{-x}(y+1) \mathrm{d} y+\left(\cos ^2 x-\sin 2 x\right) y \mathrm{~d} x=0$$ at $$x=0$$, $$y=1$$ is
2
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $$A=\left[\begin{array}{ccc}1 & 2 & 3 \\ -1 & 1 & 2 \\ 1 & 2 & 4\end{array}\right]$$ and $$A_{i j}$$ is a cofactor of $$a_{i j}$$ then the value of $$a_{21} A_{21}+a_{22} A_{22}+a_{23} A_{23}$$ is
3
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0
Rate of increase of bacteria in a culture is proportional to the number of bacteria present at that instant and it is found that the number doubles in 6 hours. The number of bacteria becomes ________ times at the end of 18 hours.
4
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0
The slope of the normal to the curve $$x=\sqrt{t}$$ and $$y=t-\frac{1}{\sqrt{t}}$$ at $$t=4$$ is
Paper analysis
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50
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50
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