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

If the variance of the numbers $$2,3,11$$ and $$x$$ is $$\frac{49}{4}$$, then the values of $$x$$ are

A
$$6, \frac{14}{3}$$
B
$$4, \frac{13}{5}$$
C
$$6, \frac{16}{3}$$
D
$$6, \frac{14}{5}$$
2
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
3
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 17 English Option 1
B
MHT CET 2021 20th September Evening Shift Mathematics - Linear Programming Question 17 English Option 2
C
MHT CET 2021 20th September Evening Shift Mathematics - Linear Programming Question 17 English Option 3
D
MHT CET 2021 20th September Evening Shift Mathematics - Linear Programming Question 17 English Option 4
4
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
$$\cos ^{-1}\left(\frac{3}{5}\right)$$
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