1
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $$\bar{a}=\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}, \bar{b}=\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}$$ and $$\bar{c}=\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}-\hat{\boldsymbol{k}}$$ are three vectors then vector $$\bar{r}$$ in the plane of $$\bar{a}$$ and $$\bar{b}$$, whose projection on $$\bar{c}$$ is $$\frac{1}{\sqrt{3}}$$, is given by
2
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0
A tetrahedron has verticles $$P(1,2,1), Q(2,1,3), R(-1,1,2)$$ and $$O(0,0,0)$$. Then the angle between the faces $$O P Q$$ and $$P Q R$$ is
3
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0
The principal value of $$\sin ^{-1}\left(\sin \left(\frac{2 \pi}{3}\right)\right)$$ is
4
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0
The differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\sqrt{1-y^2}}{y}$$ determines a family of circles with
Paper analysis
Total Questions
Chemistry
50
Mathematics
50
Physics
50
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