Day 136: NDA Maths

1. A.
   $\dfrac{\pi}{12}$
2. B.
   $\dfrac{\pi}{6}$
3. C.
   $\dfrac{\pi}{3}$
4. D.
   $\dfrac{\pi}{2}$

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1. A.
   $pq=1$
2. B.
   $p=q$
3. C.
   $p+q=1$
4. D.
   $p+q=0$

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1. A.
   $\vec{a}, \vec{b}, \vec{c}$ are orthogonal in pairs and $|\vec{a}|=|\vec{c}|$ and $|\vec{b}|=1$
2. B.
   $\vec{a}, \vec{b}, \vec{c}$ are non-orthogonal to each other
3. C.
   $\vec{a}, \vec{b}, \vec{c}$ are orthogonal in pairs but $|\vec{a}|\neq|\vec{c}|$
4. D.
   $\vec{a}, \vec{b}, \vec{c}$ are orthogonal in pairs but $|\vec{b}|\neq1$

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1. A.
   $(198)_{10}$
2. B.
   $(199)_{10}$
3. C.
   $(200)_{10}$
4. D.
   $(201)_{10}$

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1. A.
   $2^{100}\omega^{2}$
2. B.
   $2^{100}\omega$
3. C.
   $2^{100}$
4. D.
   $-2^{100}$

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