Day 515: MHT-CET Maths

1. A.
   $\sin A$
2. B.
   $\cos 2A$
3. C.
   $\sin 2A$
4. D.
   $\cos A$

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1. A.
   $2$
2. B.
   $3$
3. C.
   $7$
4. D.
   $1$

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1. A.
   $a\alpha^2 - b\alpha - a = 0$
2. B.
   $a\alpha^2 - b\alpha - a = 1$
3. C.
   $a\alpha^2 + b\alpha - a = -2\alpha^2$
4. D.
   $a\alpha^2 + b\alpha + a = 0$

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1. A.
   $\left( y\frac{\text{ }dy}{\text{ }dx} - x \right)^{2}$
2. B.
   $\left( x\frac{\text{ }dy}{\text{ }dx} - y \right)^{2}$
3. C.
   $\left( x\frac{\text{ }dy}{\text{ }dx} + y \right)^{2}$
4. D.
   $\left( y\frac{\text{ }dy}{\text{ }dx} + x \right)^{2}$

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1. A.
   $x^{15} + 15x^{14} + 30x^{13} + c$, where c is the constant of integration
2. B.
   $\dfrac{\log(x^{15} + 15^x)}{2} + c$, where c is the constant of integration
3. C.
   $\log(x^{15} + 15^x)^2 + c$, where c is the constant of integration
4. D.
   $\log(x^{15} + 15^x) + c$, where c is the constant of integration

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