1
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

The differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\sqrt{1-y^2}}{y}$$ determines a family of circles with

A
fixed radius of 1 unit and variable centres along the $$X$$-axis
B
fixed radius of 1 unit and variable centres along the $$Y$$-axis
C
variable radii and a fixed centre at $$(0,1)$$
D
variable radii and a fixed centre at $$(0,-1)$$
2
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

The value of the integral $$\int_\limits0^1 \sqrt{\frac{1-x}{1+x}} \mathrm{~d} x$$ is

A
$$\left(\frac{\pi}{2}\right)+1$$
B
$$\left(\frac{\pi}{2}\right)-1$$
C
1
D
$$-$$1
3
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

If a question paper consists of 11 questions divided into two sections I and II. Section I consists of 6 questions and section II consists of 5 questions, then the number of different ways can student select 6 questions, taking at least 2 questions from each section, is

A
425
B
275
C
350
D
225
4
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area (in sq. units) of the region described by $$A=\left\{(x, y) / x^2+y^2 \leq 1\right.$$ and $$\left.y^2 \leq 1-x\right\}$$ is

A
$$\left(\frac{\pi}{2}+\frac{2}{3}\right)$$
B
$$\left(\frac{\pi}{2}+\frac{4}{3}\right)$$
C
$$\left(\frac{\pi}{2}-\frac{4}{3}\right)$$
D
$$\left(\frac{\pi}{2}-\frac{2}{3}\right)$$
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