1
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

10 is divided into two parts such that the sum of double of the first and square of the other is minimum, then the numbers are respectively

A
9, 1
B
8, 2
C
6, 4
D
7, 3
2
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle $$\mathrm{ABC}$$, with usual notations $$\mathrm{a}=2, \mathrm{~b}=3, \mathrm{c}=5$$, then $$\frac{\cos \mathrm{A}}{\mathrm{a}}+\frac{\cos \mathrm{B}}{\mathrm{b}}+\frac{\cos \mathrm{C}}{\mathrm{c}}=$$

A
$$\frac{19}{30}$$
B
$$\frac{19}{60}$$
C
$$\frac{23}{60}$$
D
$$\frac{38}{35}$$
3
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=\frac{1-\sin x+\cos x}{1+\sin x+\cos x}$$, for $$x \neq \pi$$ is continuous at $$x=\pi$$, then the value of $$f(\pi)$$ is

A
$$\frac{-1}{2}$$
B
$$-1$$
C
1
D
$$\frac{1}{2}$$
4
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

140. Given that total of 16 values is 528 and sum of the squares of deviation from 33 is 9158. The variance is

A
562.73
B
570.375
C
574.375
D
572.375
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