Day 208: MHT-CET Maths

1. A.
   $a=3, b=4$
2. B.
   $a=0, b=7$
3. C.
   $a=5, b=2$
4. D.
   $a=1, b=6$

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1. A.
   Straight line passing through the origin and the first and third quadrant.
2. B.
   Straight line passing through the origin and the second and fourth quadrant.
3. C.
   Straight line passing through the point $(1, - 1)$ and having slope -1 .
4. D.
   Straight line passing through the point $(2,1)$ and having slope $\frac{1}{2}$.

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1. A.
   $\dfrac{2\pi}{3}$
2. B.
   $\dfrac{3\pi}{4}$
3. C.
   $\dfrac{5\pi}{6}$
4. D.
   $\pi$

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1. A.
   $x + y - 2z + 6 = 0$
2. B.
   $\ 2x + y + z + 1 = 0$
3. C.
   $x + y + 2z - 2 = 0$
4. D.
   $x - y - z + 2 = 0$

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1. A.
   $\frac{x}{2}(\sin(\log x)-\cos(\log x))+c$
2. B.
   $x(\cos(\log x)-\sin(\log x))+c$
3. C.
   $\frac{x}{2}(\cos(\log x)+\sin(\log x))+c$
4. D.
   $x(\cos(\log x)+\sin(\log x))+c$

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