Day 493: MHT-CET Maths

1. A.
   $\log(\sin x) + c$
2. B.
   $\log(\sin x^n) + c$
3. C.
   $\log(\cot x^n) + c$
4. D.
   $\log(\cos x^n) + c$

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1. A.
   $\frac{\pi}{10}$
2. B.
   $\frac{3\pi}{10}$
3. C.
   $\frac{3\pi}{2}$
4. D.
   $\frac{3\pi}{5}$

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1. A.
   It can be represented by equation $\dfrac{x + 2}{1} = \dfrac{y}{2} = \dfrac{z + 6}{3}$
2. B.
   It lies in the plane $x - 2y + z + 8 = 0$
3. C.
   It is perpendicular to the plane $x - 2y + z = 0$
4. D.
   It passes through point $(0, 4, 0)$.

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1. A.
   120
2. B.
   264
3. C.
   270
4. D.
   144

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1. A.
   $\frac{496}{1001}$
2. B.
   $\frac{505}{1001}$
3. C.
   $\frac{490}{1001}$
4. D.
   $\frac{504}{1001}$

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