1
$\displaystyle \int \frac{\pi}{x^{n+1}-x}dx=$
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4
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4
$\displaystyle \int_{0}^{1}\frac{a-bx^{2}}{\left(a+bx^{2}\right)^{2}}dx\ \text{is:}$
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4
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4
The second order derivative of which of the following functions is $5^x$?
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4
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4
The degree of the differential equation $\left(1-\left(\dfrac{dy}{dx}\right)^2\right)^{3/2}=k\dfrac{d^2y}{dx^2}$ is:
✓Solution
3
If $A$ and B are symmetric matrices of the same order, then AB-BA is a:
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2
If A is a square matrix of order $4$ and |A|=4, then |2A| will be:
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2
If $[A]_{3\times 2}[B]_{x\times y}=[C]_{3\times 1}$, then:
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3
If a function $f(x)=x^{2}+bx+1$ is increasing in the interval $[1,2]$, then the least value of $b$ is:
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2
Two dice are thrown simultaneously. If X denotes the number of fours, then the expectation of X will be:
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4
For the function $f(x)=2x^{3}-9x^{2}+12x-5$, $x\in[0,3]$, match
List-I with
List-II:
| List-I |
List-II |
| (A) Absolute maximum value |
| (B) Absolute minimum value |
| (C) Point of maxima |
| (D) Point of minima |
|
| (I) 3 |
| (II) 0 |
| (III) −5 |
| (IV) 4 |
|
Choose the correct answer from the options given below:
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✓Solution