Which family of curves the solution of a DE represents

1. A.
   fixed radius of 1 unit and variable centres along the X-axis
2. B.
   fixed radius of 1 unit and variable centres along the Y-axis
3. C.
   variable radii and a fixed centre at (0, 1)
4. D.
   variable radii and a fixed centre at (0, −1)

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1. A.
   circle
2. B.
   pair of straight lines
3. C.
   hyperbola
4. D.
   ellipse

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1. A.
   variable radii and fixed centre at (0,1).
2. B.
   variable radii and fixed centre at (0,-1).
3. C.
   fixed radius 1 and variable centre along Y-axis.
4. D.
   fixed radius 1 and variable centre along X-axis.

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1. A.
   $a + 2c$, where $c$ is the constant of integration
2. B.
   $\sqrt{a^{2} + 2c}$, where $c$ is the constant of integration
3. C.
   $a^{2} + 2c$, where $c$ is the constant of integration
4. D.
   $\sqrt{a + c}$, where c is the constant of integration

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1. A.
   a family of circles with radius c .
2. B.
   a family of parabolas with vertex at the origin and axis along the positive Y -axis
3. C.
   a family of parabolas with vertex at origin and axis along the positive X -axis
4. D.
   a family of ellipses

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1. A.
   straight lines
2. B.
   circles
3. C.
   parabola
4. D.
   ellipse

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1. A.
   $a = c = 0,\ b + d = 0$
2. B.
   $a = c = 0,\ b = d$
3. C.
   $b = d = 0,\ a + c = 0$
4. D.
   $b = d = 0,\ a = c$

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1. A.
   variable radii and fixed center at $(0, 1)$
2. B.
   fixed radius of $1$ and variable centers on X-axis
3. C.
   variable radii and fixed center at $(0, -1)$
4. D.
   fixed radius of $1$ and variable centers on Y-axis

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