Day 520: MHT-CET Maths

1. A.
   7 units
2. B.
   6 units
3. C.
   8 units
4. D.
   10 units

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1. A.
   $n\pi + \frac{\pi}{4},n \in \mathbb{Z}$
2. B.
   $n\pi + ( - 1)^{n}\frac{\pi}{6},n \in \mathbb{Z}$
3. C.
   $2n\pi \pm \frac{\pi}{4},n \in \mathbb{Z}$
4. D.
   $\ 2n\pi \pm 3\frac{\pi}{4},n \in \mathbb{Z}$

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1. A.
   $\sqrt{113}$
2. B.
   $\sqrt{114}$
3. C.
   $\sqrt{117}$
4. D.
   $\sqrt{119}$

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1. A.
   160 cm/s
2. B.
   80 cm/s
3. C.
   320 cm/s
4. D.
   480 cm/s

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

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