1
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The feasible region for the constraints $x-y \geq 0, x-5 y \leq-5, x \geq 0, y \geq 0$ is shown by the figure:

A
MHT CET 2025 5th May Evening Shift Mathematics - Linear Programming Question 1 English Option 1
B
MHT CET 2025 5th May Evening Shift Mathematics - Linear Programming Question 1 English Option 2
C
MHT CET 2025 5th May Evening Shift Mathematics - Linear Programming Question 1 English Option 3
D
MHT CET 2025 5th May Evening Shift Mathematics - Linear Programming Question 1 English Option 4
2
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area of the triangle whose vertices are $i, \omega$ and $\omega^2$ is (Where $\omega$ is a complex cube root of unity other than $1, i$ is an imaginary number)__________ sq.units

A

$\frac{3 \sqrt{3}}{4}$

B

$\frac{\sqrt{3}}{2}$

C

$\frac{3 \sqrt{3}}{2}$

D

$\frac{\sqrt{3}}{4}$

3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Three numbers are chosen at random from numbers 1 to 20 . The probability that they are consecutive is

A

$\frac{1}{190}$

B

$\frac{1}{120}$

C

$\frac{3}{190}$

D

$\frac{5}{190}$

4
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The approximate value of $\frac{1}{(2.002)^2}$ is

A

0.2495

B

0.2595

C

0.2095

D

0.2392

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