Day 159: MHT-CET Maths

1. A.
   $\left(\dfrac{6}{5}, \dfrac{1}{5}\right)$
2. B.
   $\left(\dfrac{1}{5}, \dfrac{6}{5}\right)$
3. C.
   $(5, 6)$
4. D.
   $\left(\dfrac{3}{5}, \dfrac{9}{5}\right)$

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1. A.
   $X = 1$
2. B.
   $X = 2$
3. C.
   $X = 3$
4. D.
   $X = 4$

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1. A.
   $\dfrac{1}{\sqrt{2}}\left(\cos\dfrac{7\pi}{4} + i\sin\dfrac{7\pi}{4}\right)$
2. B.
   $\dfrac{1}{\sqrt{2}}\left(\cos\dfrac{\pi}{4} + i\sin\dfrac{\pi}{4}\right)$
3. C.
   $\dfrac{1}{2}\left(\cos\dfrac{\pi}{4} + i\sin\dfrac{\pi}{4}\right)$
4. D.
   $\dfrac{1}{2}\left(\cos\dfrac{7\pi}{4} + i\sin\dfrac{7\pi}{4}\right)$

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1. A.
   $(3, 2), (3, 0), (2, 0)$
2. B.
   $\left(\dfrac{8}{3}, 2\right), (3, 2), (3, 0), (2, 0)$
3. C.
   $(0, 0), (2, 0), \left(\dfrac{8}{3}, 2\right), (0, 2)$
4. D.
   $(3, 2), (0, 3), (0, 2)$

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1. A.
   $1$
2. B.
   $2$
3. C.
   $4$
4. D.
   $16$

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