Test Details

Linear Programming,Differential Equation

Jan 08, 9:00 AM

60 minutes

Jan 08, 10:00 AM

40.0 marks

MCQ

30 questions

Shefali Singha

I am a Mathematics teacher . I used to teach mathematics in St. Xavier's School, Jamshedpur.

Class Details

Mathematics

Class12

Mathematics

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Question Text

Question 1 :
<div><span>Conclude from the following:</span><br/></div>$n^2 > 10$, and n is a positive integer.<div>A: $n^3$</div><div>B: $50$</div>

Question 2 :
If $x+y \leq 2, x\leq 0, y\leq 0$ the point at which maximum value of $3x+2y$ attained will be.<br/>

Question 3 :
Find the output of the program given below if$ x = 48$<br/>and $y = 60$<br/>10  $ READ x, y$<br/>20  $Let x = x/3$<br/>30  $ Let y = x + y + 8$<br/>40  $ z = \dfrac y4$<br/>50  $PRINT z$<br/>60  $End$

Question 4 :
The degree of the differential equation<br>$\displaystyle { \left[ 1+{ \left( \frac { dy }{ dx }  \right)  }^{ 2 } \right]  }^{ { 5 }/{ 3 } }=\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } $<br>

Question 5 :
Consider a differential equation of order $m$ and degree $n$. Which one of the following pairs is <i>not</i> feasible?

Question 6 :
The order and degree of the differential equation $\displaystyle\frac{d^2y}{dx^2}=\sqrt[3]{1-\displaystyle\left(\frac{dy}{dx}\right)^4}$ are respectively.

Question 7 :
Degree and order of the differential equation $\dfrac { { d }^{ 2 }y }{ d{ x }^{ 2 } } ={ \left( \dfrac { dy }{ dx }  \right)  }^{ 2 }$ are respectively

Question 8 :
If $dy=x^2dx$, what is the equation of $y$ in terms of $x$ if the curve passes through $(1,1)$?<span><br/></span>

Question 10 :
Order and degree of the differential equation $\left [1 + \left (\dfrac {dy}{dx}\right )^{3}\right ]^{\tfrac {7}{3}} = 7 \dfrac {d^{2}y}{dx^{2}}$ are respectively:<br/>

Question 11 :
The order and degree of the differential equation $\sqrt { \dfrac { dy }{ dx }  } -4\dfrac { dy }{ dx } -7x=0$ are

Question 12 :
The degree and the order of the differential equation $y=x{ \left( \cfrac { dy }{ dx }  \right)  }^{ 2 }+{ \left( \cfrac { dx }{ dy }  \right)  }^{ 2 }$ are respectively:

Question 14 :
Which of the following function is a solution of differential equation $y\cdot \dfrac{dy}{dx}=x\left(\dfrac{dy}{dx}\right)^2+1?$

Question 15 :
What is the dergree of the differential equation $x \frac{dy}{dx} + \begin{pmatrix} \frac{dy}{dx} \end{pmatrix}^{-1} = 0 $ ?<br/>Where c is a constant.

Question 16 :
The degree of the differential equation $\left[ 1 + \left( \dfrac{dy}{dx} \right )^2 \right ]^{2} = \dfrac{d^2 y}{dx^2}$ is:

Question 17 :
The degree and order of the differential equation $\left[ 1+2\left( \dfrac { dy }{ dx }  \right) ^{ 2 } \right] ^{ 3/2 }=5\dfrac { { d }^{ 2 }y }{ d{ x }^{ 2 } } $ are

Question 18 :
The degree of $\dfrac{d^2 y}{dx^2} + \left[1 + \left(\dfrac{dy}{dx} \right)^2 \right]^{3/2} = 0$ is 

Question 20 :
The order of the differential equation<br/>$2x^2\dfrac{d^2y}{dx^2} - 3\dfrac{dy}{dx} + y = 0$ is

Question 21 :
$y = \sin kt$ satisfies the differential equation $y'' + 9y = 0$. Then $k=$<br/>

Question 23 :
The order of the differential equation whose solution is $y=A \cos x+B \sin x+Ce^{-x}$

Question 24 :
Family $y = ax + {a^3}$ of curve repersented by the differential equation of degree

Question 25 :
The order and degree of the differential equation in $\sin { x } \left( dx+dy \right) =\cos { x } \left( dx-dy \right) $ are:

Question 26 :
If $y = e^{-x}\cos 2x$ then which of the following differential equations is satisfied?

Question 28 :
The degree of the differential equation $\displaystyle \sqrt[3]{1 + \left( \dfrac{dy}{dx} \right )^{\tfrac{1}{2}}} = \dfrac{d^2y}{dx^2}$ is:

Question 29 :
Identify the order of the <span>$ln (ay) = be^{x} + c$</span>, (where $a, b, c$ are parameters)

Question 30 :
The differential equation representing the family of curves $\mathrm{y}^{2}=2\mathrm{c}(\mathrm{x}+\sqrt{\mathrm{c}})$, where $\mathrm{c} >0$, is a parameter, is of order and degree as follows: <br/>

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