Day 13: NDA Maths

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

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1. A.
   has a unique solution
2. B.
   has infinitely many solutions
3. C.
   is inconsistent
4. D.
   is consistent and has exactly two solutions

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1. A.
   3
2. B.
   6
3. C.
   9
4. D.
   12

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1. A.
   $ac=b^2$
2. B.
   $a+c=2b$
3. C.
   $\frac{1}{a}+\frac{1}{c}=\frac{1}{2b}$
4. D.
   $\frac{1}{a}+\frac{1}{c}=\frac{2}{b}$

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1. A.
   AP
2. B.
   GP
3. C.
   HP
4. D.
   None of the above

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1. A.
   $\tan\!\left(\dfrac{A-B}{2}\right)$
2. B.
   $\cot\!\left(\dfrac{A-B}{2}\right)$
3. C.
   $\tan\!\left(\dfrac{A+B}{2}\right)$
4. D.
   $\cot\!\left(\dfrac{A+B}{2}\right)$

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1. A.
   $\cos(A+B)$
2. B.
   $\cos(A-B)$
3. C.
   $\cos\!\left(\dfrac{\pi}{2}-A-B\right)$
4. D.
   $\cos(\pi-A-B)$

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