1
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_1^2 x \sqrt{4-x^2} d x= $$

A

$\sqrt{3}$

B

2

C

$1 / \sqrt{3}$

D

$1 / 2$

2
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $[x]$ denotes the greatest integer function of $x$ and

$$ \int_{-3 / 2}^{3 / 2}[2 x-3] d x=k, \text { then }\left|k+\frac{1}{2}\right|= $$

A

7

B

8

C

10

D

12

3
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

The differential equation corresponding to the family of curves given by $a x^2+b y^2=1$, where $a$ and $b$ are arbitrary constants is

A

$x \frac{d^2 y}{d x^2}=\frac{d y}{d x}$

B

$x y \frac{d^2 y}{d x^2}+x\left(\frac{d y}{d x}\right)^2-y \frac{d y}{d x}=0$

C

$x y \frac{d^2 y}{d x^2}+y\left(\frac{d y}{d x}\right)^2-x \frac{d y}{d x}=0$

D

$x y \frac{d^2 y}{d x^2}-x\left(\frac{d y}{d x}\right)^2+y \frac{d y}{d x}=0$

4
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

For the differential equation

$$ \sqrt{\frac{d^2 y}{d x^2}}=\sqrt[3]{\left[y \frac{d y}{d x}+x \sin \left(\frac{d y}{d x}\right)\right]^2} $$

A

Order is 2 and degree is 3

B

Order is 3 and degree is 3

C

Order is 3 and degree is 2

D

Order is 2 and degree is not defined

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