Day 66: MHT-CET Maths

1. A.
   $\left(\dfrac{37}{10}, \dfrac{-1}{10}\right)$
2. B.
   $\left(\dfrac{-1}{10}, \dfrac{37}{10}\right)$
3. C.
   $\left(\dfrac{10}{37}, -10\right)$
4. D.
   $\left(\dfrac{2}{3}, -\dfrac{1}{3}\right)$

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1. A.
   $x = 2 + 5\cos\theta, y = 3 + 5\sin\theta$
2. B.
   $x = -2 + 5\cos\theta, y = -3 + 5\sin\theta$
3. C.
   $x = 2 + 12\cos\theta, y = 3 + 12\sin\theta$
4. D.
   $x = 3 + 5\cos\theta, y = 2 + 5\sin\theta$

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1. A.
   $30^\circ$
2. B.
   $90^\circ$
3. C.
   $105^\circ$
4. D.
   $75^\circ$

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1. A.
   $a > 0, b < 0$
2. B.
   $a < 0, b < 0$
3. C.
   $a > 0, b = 0$
4. D.
   $a > 0, b > 0$

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1. A.
   $(x - 1)^2 + (y - 6)^2 = 10$
2. B.
   $(x - 3)^2 + (y - 4)^2 = 2$
3. C.
   $x^2 + (y - 7)^2 = 20$
4. D.
   $(x - 2)^2 + (y - 5)^2 = 4$

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