1
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
2
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
$$\cos ^{-1}\left(\frac{3}{5}\right)$$
3
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
$$-13,-6,5$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The Cartesian equation of the plane $$\overline{\mathrm{r}}=(\hat{\mathrm{i}}-\hat{\mathrm{j}})+\lambda(\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}})+\mu(\hat{\mathrm{i}}-2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})$$ is

A
$$x+y+z=0$$
B
$$5 x+2 y+3 z=3$$
C
$$2 x+y+z=0$$
D
$$5 x-2 y-3 z-7=0$$
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