1
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0
The incentre of the $$\triangle A B C$$, whose vertices are $$A(0,2,1), B(-2,0,0)$$ and $$C(-2,0,2)$$, is
2
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0
The acute angle between the line joining the points $$(2,1,-3),(-3,1,7)$$ and a line parallel to $$\frac{x-1}{3}=\frac{y}{4}=\frac{z+3}{5}$$ through the point $$(-1,0,4)$$ is
3
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0
A random variable $$X$$ has the probability distribution
$$X=x$$ | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
---|---|---|---|---|---|---|---|---|
$$P(X=x)$$ | 0.15 | 0.23 | 0.12 | 0.20 | 0.08 | 0.10 | 0.05 | 0.07 |
For the events $$E=\{X$$ is a prime number $$\}$$ and $$F=\{x<5\}, P(E U F)$$ is
4
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0
The shaded area in the given figure is a solution set for some system of inequations. The maximum value of the function $$z=10 x+25 y$$ subject to the linear constraints given by the system is
Paper analysis
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50
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50
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