1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The differential equation of an ellipse whose major axis is twice its minor axis, is

A
$$x+4 y \frac{d y}{d x}=0$$
B
$$x-4 y \frac{d y}{d x}=0$$
C
$$x+2 y \frac{d y}{d x}=0$$
D
None of these
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The solution set for the system of linear inequations $$x+y \geq 1 ; 7 x+9 y \leq 63 ; y \leq 5 ; x \leq 6, x \geq 0$$ and $$y \geq 0$$ is represented graphically in the figure. What is the correct option?

A
MHT CET 2021 20th September Evening Shift Mathematics - Linear Programming Question 15 English Option 1
B
MHT CET 2021 20th September Evening Shift Mathematics - Linear Programming Question 15 English Option 2
C
MHT CET 2021 20th September Evening Shift Mathematics - Linear Programming Question 15 English Option 3
D
MHT CET 2021 20th September Evening Shift Mathematics - Linear Programming Question 15 English Option 4
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\cos ^{-1}\left(\frac{4}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)=$$

A
$$\cos ^{-1}\left(\frac{24}{25}\right)$$
B
$$\cos ^{-1}\left(\frac{33}{65}\right)$$
C
$$\cos ^{-1}\left(\frac{5}{13}\right)$$
D
$$\cos ^{-1}\left(\frac{3}{5}\right)$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The co-factors of the elements of second column of $$\left[\begin{array}{ccc}1 & -1 & 2 \\ 3 & 2 & 1 \\ -1 & 3 & 4\end{array}\right]$$ are

A
$$-13,6,5$$
B
$$13,5,6$$
C
$$13,-6,-5$$
D
$$-13,-6,5$$
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