Day 326: MHT-CET Maths

1. A.
   $x - y \geq 0,x + y \geq 0$
2. B.
   $x - y \leq 0,x + y \geq 0$
3. C.
   $x - y \geq 0,x + y \leq 0$
4. D.
   $x - y \leq 0,x + y \leq 0$

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1. A.
   $\dfrac{dy}{dx} = \dfrac{y^3 + x^2\cos x}{3xy^2}$
2. B.
   $\dfrac{dy}{dx} = \dfrac{y^3 - x^2\cos x}{3xy^2}$
3. C.
   $\dfrac{dy}{dx} = \dfrac{y^3 - x^2\cos x}{3xy}$
4. D.
   $\dfrac{dy}{dx} = \dfrac{y^3 - x^2\cos x}{3x^2y}$

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1. A.
   $[\vec{a}\;\vec{b}\;\vec{c}]$
2. B.
   $2[\vec{a}\;\vec{b}\;\vec{c}]$
3. C.
   $3[\vec{a}\;\vec{b}\;\vec{c}]$
4. D.
   $4[\vec{a}\;\vec{b}\;\vec{c}]$

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1. A.
   $\frac{A}{24} - \frac{7}{24}I$
2. B.
   $\frac{A}{21} - \frac{7}{21}I$
3. C.
   $\frac{7I}{24} - \frac{1}{24}\text{ }A$
4. D.
   A-3I

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1. A.
   $x\sin x + y\cos x = c$
2. B.
   $y\sin x + x\cos x = c$
3. C.
   $xy\sin x - \cos x = c$
4. D.
   $xy\sin x + \cos x = c$

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