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JEE Advance 2006
Single Correct Type
Question
The value of $\left[\begin{array}{lll}3 & 2 & 0\end{array}\right] \mathrm{U}\left[\begin{array}{l}3 \\ 2 \\ 0\end{array}\right]$ is
Select the correct option:
A
5
B
$5 / 2$
C
4
D
$3 / 2$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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Solution
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JEE Advance
Mathematics
Easy
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JEE ADVANCE 2006
2006
The hybridization of A and B are
JEE Advance
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JEE ADVANCE 2006
2006
Predict the magnetic nature of A and B .
JEE Advance
Chemistry
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Q
JEE ADVANCE 2006
2006
The IUPAC name of $A$ and $B$ are
JEE Advance
Chemistry
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Q
JEE ADVANCE 2006
2006
What are the constituent amines formed when the mixture of (i) and (ii) undergoes Hofmann bromamide degradation?
JEE Advance
Chemistry
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JEE Advance 2006
2006
A circular disc with a groove along its diameter is placed horizontally. A block of mass 1 kg is placed...
JEE Advance
Physics
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JEE Advance 2006
2006
In hydrogen-like atom $(\mathrm{z}=11), \mathrm{n}^{\text {th }}$ line of Lyman series has wavelength $\lambda$ equal to the de-Broglie's wavelength of...
JEE Advance
Physics
Easy
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Q
JEE Advance 2006
2006
Match the following
JEE Advance
Mathematics
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JEE Advance 2006
2006
Match the following
JEE Advance
Mathematics
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Q
JEE Advance 2006
2006
There is a rectangular plate of mass M kg of dimensions $(\mathrm{a} \times \mathrm{b})$. The plate is held in horizontal...
JEE Advance
Physics
Easy
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Q
JEE Advance 2006
2006
Match the following
JEE Advance
Mathematics
Easy
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JEE Advance 2006
2006
Match the following: Normals are drawn at points $P, Q$ and $R$ lying on the parabola $y^2=4 x$ which intersect...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2006
2006
If $\mathrm{f}(\mathrm{x})$ is a twice differentiable function such that $\mathrm{f}(\mathrm{a})=0, \mathrm{f}(\mathrm{b})=2, \mathrm{f}(\mathrm{c})=-1, \mathrm{f}(\mathrm{d})=2, \mathrm{f}(\mathrm{e})=0$, where $\mathrm{a}<\mathrm{b}<\mathrm{c}<\mathrm{d}<\mathrm{e}$, then the minimum number of zeroes of $g(x)=(f(x))^2+f^{\prime \prime}(x) f(x)$ in the interval $[a, e]$ is
JEE Advance
Mathematics
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Q
JEE Advance 2006
2006
If $a_n=\frac{3}{4}-\left(\frac{3}{4}\right)^2+\left(\frac{3}{4}\right)^3+\cdots(-1)^{n-1}\left(\frac{3}{4}\right)^n$ and $b_n=1-a_n$, then find the minimum natural number $n_0$ such that $b_n>a_n \forall n>n_0$
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2006
2006
The value of $5050 \frac{\int_0^1\left(1-x^{50}\right)^{100} d x}{\int_0^1\left(1-x^{50}\right)^{101} d x}$ is
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2006
2006
If roots of the equation $x^2-10 c x-11 d=0$ are $a, b$ and those of $x^2-10 a x-11 b=0$ are...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2006
2006
The value of $\left[\begin{array}{lll}3 & 2 & 0\end{array}\right] \mathrm{U}\left[\begin{array}{l}3 \\ 2 \\ 0\end{array}\right]$ is
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2006
2006
The sum of the elements of $\mathrm{U}^{-1}$ is
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2006
2006
$A=\left[\begin{array}{lll}1 & 0 & 0 \\ 2 & 1 & 0 \\ 3 & 2 & 1\end{array}\right]$, if $U_1, U_2$...
JEE Advance
Mathematics
Easy
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