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JEE Advance 2006
Multiple Correct Type
Multiple correct answers - Select all that apply
Question
$f(x)=\left\{\begin{array}{ll}e^x, & 0 \leq x \leq 1 \\ 2-e^{x-1}, & 1
Select ALL correct options:
A
local maxima at x = 1 + ln 2 and local minima at x = e
B
local maxima at x = 1 and local minima at x = 2
C
no local maxima
D
no local minima
Submit Selected Answers
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
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JEE Advance
Mathematics
Easy
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JEE Advance 2006
2006
A line M through A is drawn parallel to BD . Point S moves such that its distances from the...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2006
2006
Two waves $\mathrm{y}_1=\mathrm{A} \cos (0.5 \pi \mathrm{x}-100 \pi \mathrm{t})$ and $y_2=A \cos (0.46 \pi x-92 \pi t)$ are travelling in...
JEE Advance
Physics
Easy
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Q
JEE ADVANCE 2006
2006
$\mathrm{MgSO}_4$ on reaction with $\mathrm{NH}_4 \mathrm{OH}$ and $\mathrm{Na}_2 \mathrm{HPO}_4$ forms a white crystalline precipitate. What is its formula?
JEE Advance
Chemistry
Easy
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JEE ADVANCE 2006
2006
What are N and M ?
JEE Advance
Chemistry
Easy
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Q
JEE ADVANCE 2006
2006
The smallest ketone and its next homologue are reacted with $\mathrm{NH}_2 \mathrm{OH}$ to form oxime.
JEE Advance
Chemistry
Easy
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JEE ADVANCE 2006
2006
The given graph represents the variation of Z (compressibility factor $=\frac{\mathrm{PV}}{\mathrm{nRT}}$ ) versus P , for three real gases $...
JEE Advance
Chemistry
Easy
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Q
JEE ADVANCE 2006
2006
The major products P and Q are
JEE Advance
Chemistry
Easy
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Q
JEE Advance 2006
2006
A ball moves over a fixed track as shown in the figure. From $A$ to $B$ the ball rolls without...
JEE Advance
Physics
Easy
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Q
JEE Advance 2006
2006
An infinite current carrying wire passes through point O and in perpendicular to the plane containing a current carrying loop...
JEE Advance
Physics
Easy
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Q
JEE ADVANCE 2006
2006
Which of the following reactants on reaction with conc. NaOH followed by acidification gives the following lactone as the only...
JEE Advance
Chemistry
Easy
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Q
JEE Advance 2006
2006
The graph between $1 / \lambda$ and stopping potential (V) of three metals having work functions $\phi_1, \phi_2$ and $\phi_3$...
JEE Advance
Physics
Easy
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Q
JEE Advance 2006
2006
In a dark room with ambient temperature $\mathrm{T}_0$, a black body is kept at a temperature T . Keeping the...
JEE Advance
Physics
Easy
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Q
JEE ADVANCE 2006
2006
The species present in solution when $\mathrm{CO}_2$ is dissolved in water are
JEE Advance
Chemistry
Easy
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Q
JEE Advance 2006
2006
A circle touches the line L and the circle $\mathrm{C}_1$ externally such that both the circles are on the same...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2006
2006
Function $\mathrm{x}=\mathrm{A} \sin ^2 \omega \mathrm{t}+\mathrm{B} \cos ^2 \omega \mathrm{t}+\mathrm{C} \sin \omega \mathrm{t} \cos \omega \mathrm{t}$ represents SHM
JEE Advance
Physics
Easy
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Q
JEE ADVANCE 2006
2006
If the bond length of CO bond in carbon monoxide is $1.128 \AA$, then what is the value of CO...
JEE Advance
Chemistry
Easy
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Q
JEE Advance 2006
2006
Let ABCD be a square of side length 2 units. $\mathrm{C}_2$ is the circle through vertices $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2006
2006
If $\mathrm{f}^{\prime}(\mathrm{x})<0 \forall \mathrm{x} \in(\mathrm{a}, \mathrm{b})$ and c is a point such that $\mathrm{a}<\mathrm{c}<\mathrm{b}$, and (c, $\left.\mathrm{f}(\mathrm{c})\right)$ is the point lying on the curve for which $\mathrm{F}(\mathrm{c})$ is maximum, then $f^{\prime}(c)$ is equal to
JEE Advance
Mathematics
Easy
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