Day 441: MHT-CET Maths

1. A.
   $f(x)$ is increasing in $(-\infty, 0) \cup (2, \infty)$
2. B.
   $f(x)$ is decreasing in $(-\infty, 0) \cup (2, \infty)$
3. C.
   $f(x)$ is increasing in $(0, 2)$
4. D.
   $f(x)$ is decreasing in $(2, \infty)$

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1. A.
   $\frac{1}{8}$
2. B.
   $\frac{1}{2}$
3. C.
   $\frac{1}{4}$
4. D.
   $\frac{2}{3}$

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1. A.
   $1$
2. B.
   $2$
3. C.
   $3$
4. D.
   $4$

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1. A.
   Circle with radius 1 unit
2. B.
   Straight line with slope 1.
3. C.
   Parabola with focus $(1,0)$
4. D.
   X -axis

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1. A.
   centre is $(-1, 2)$
2. B.
   eccentricity is $\sqrt{\dfrac{19}{3}}$
3. C.
   length of its transverse axis is $4\sqrt{3}$
4. D.
   length of its conjugate axis is $4$

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