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JEE Advance2007
Paper-2
Question
The differential equation $\frac{d y}{d x}=\frac{\sqrt{1-y^2}}{y}$ determines a family of circles with
Select the correct option:
A
variable radii and a fixed centre at (0, 1)
B
variable radii and a fixed centre at (0, −1)
C
fixed radius 1 and variable centres along the x-axis
D
fixed radius 1 and variable centres along the y-axis
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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Solution
Question Tags
JEE Advance
Mathematics
Easy
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JEE ADVANCE 2011
2011
Let $f:(0,1) \rightarrow \mathbb{R}$ be defined by $f(x)=\frac{b-x}{1-b x}$, where be is a constant such that $0
JEE Advance
Mathematics
Easy
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Q
JEE ADVANCE 2011
2011
If $f(x)=\left\{\begin{array}{cc}-x-\frac{\pi}{2}, & x \leq-\frac{\pi}{2} \\ -\cos x, & -\frac{\pi}{2}
1\end{array}\right.$ then
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2008
2008
A particle $P$ starts from the point $z_0=1+2 i$, where $i=\sqrt{-1}$. It moves first horizontally away from origin by 5...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2008
2008
A solution of colourless salt $\mathbf{H}$ on boiling with excess NaOH produces a non-flammable gas. The gas evolution ceases after...
JEE Advance
Chemistry
Easy
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Q
JEE Advance 2008
2008
Consider a branch of the hyperbola $x^2-2 y^2-2 \sqrt{2} x-4 \sqrt{2} y-6=0$ with vertex at the point $A$. Let $B$...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2008
2008
The correct statement (s) concerning the structures E, F and G is (are)
JEE Advance
Chemistry
Easy
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Q
JEE ADVANCE 2011
2011
The circle passing through the point $(-1,0)$ and touching the $y$-axis at $(0,2)$ also passes through the point
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2008
2008
The area of the region between the curves $y=\sqrt{\frac{1+\sin x}{\cos x}}$ and $y=\sqrt{\frac{1-\sin x}{\cos x}}$ bounded by the lines $x=0$...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2008
2008
The correct statement (s) about the compound given below is (are)
JEE Advance
Chemistry
Easy
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Q
JEE ADVANCE 2011
2011
Let $\omega \neq 1$ be a cube root of unity and S be the set of all non-singular matrices of...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2008
2008
In a mixture of $\mathrm{H}-\mathrm{He}^{+}$gas ( $\mathrm{He}^{+}$is singly ionized He atom), H atoms and $\mathrm{He}^{+}$ions are excited to their respective...
JEE Advance
Physics
Easy
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Q
JEE Advance 2008
2008
An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2008
2008
A gas described by van der Waal’s equation
JEE Advance
Chemistry
Easy
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Q
JEE ADVANCE 2011
2011
A value of $b$ for which the equations $$ \begin{aligned} & x^2+b x-1=0 \\ & x^2+x+b=0 \end{aligned} $$ have one...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2008
2008
Aqueous solutions of $\mathrm{Na}_2 \mathrm{~S}_2 \mathrm{O}_3$ on reaction with $\mathrm{Cl}_2$ gives
JEE Advance
Chemistry
Easy
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Q
JEE Advance 2008
2008
In a mixture of $\mathrm{H}-\mathrm{He}^{+}$gas ( $\mathrm{He}^{+}$is singly ionized He atom), H atoms and $\mathrm{He}^{+}$ions are excited to their respective...
JEE Advance
Physics
Easy
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Q
JEE ADVANCE 2011
2011
Let $P(6,3)$ be a point on the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$. If the normal at the point $P$ intersects the $x$-axis at...
JEE Advance
Mathematics
Easy
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Q
JEE Advance 2008
2008
In a mixture of $\mathrm{H}-\mathrm{He}^{+}$gas ( $\mathrm{He}^{+}$is singly ionized He atom), H atoms and $\mathrm{He}^{+}$ions are excited to their respective...
JEE Advance
Physics
Easy
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