Day 117: MHT-CET Maths

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

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1. A.
   $y\left( 1 + x^{2} \right) = 4x^{3}$
2. B.
   $4\left( 1 + x^{2} \right) = 4 + y^{2}$
3. C.
   $3y\left( 1 + x^{2} \right) = 4x^{3}$
4. D.
   $1 + y^{2} = 4x^{3} + 1$

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1. A.
   $\frac{7}{a + b}\left( \frac{x - b}{x + a} \right)^{\frac{9}{7}} + c$, where c is the constant of integration.
2. B.
   $\frac{7}{a + b}\left( \frac{x - b}{x + a} \right)^{\frac{5}{7}} + c$, where $c$ is the constant of integration.
3. C.
   $\frac{7}{2(a + b)}\left( \frac{x - b}{x + a} \right)^{\frac{2}{7}} + c$, where $c$ is the constant of integration.
4. D.
   $\frac{7}{a + b}\left( \frac{x - b}{x + a} \right)^{\frac{1}{7}} + c$, where $c$ is the constant of integration.

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1. A.
   (A) and (C) are true while (B) is false.
2. B.
   (A) is true while (B) and (C) are false.
3. C.
   (A) is false but (B) and (C) are true.
4. D.
   (A) is false while (C) is true.

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1. A.
   $\frac{22}{9}$ sq. units
2. B.
   $\frac{44}{9}$ sq. units
3. C.
   $\frac{8}{9}$ sq. units
4. D.
   $\frac{26}{9}$ sq. units

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