Day 363: NDA Maths

1. A.
   $\frac{1}{\sqrt{2}}$
2. B.
   $\frac{1}{2\sqrt{2}}$
3. C.
   $\frac{\sqrt{3}}{2\sqrt{2}}$
4. D.
   $\frac{\sqrt{3}}{\sqrt{2}}$

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1. A.
   $\frac{1}{\sqrt{2}}$
2. B.
   $\frac{1}{2\sqrt{2}}$
3. C.
   $\frac{\sqrt{3}}{2\sqrt{2}}$
4. D.
   $\frac{\sqrt{3}}{\sqrt{2}}$

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1. A.
   $\sqrt{3}\cos 1°+\sin 1°$
2. B.
   $\sqrt{3}\cos 1°-\frac{1}{2}\sin 1°$
3. C.
   $\frac{1}{\sqrt{2}}(\sqrt{3}\cos 1°-\sin 1°)$
4. D.
   $\dfrac{1}{\sqrt{2}}(\sqrt{3}\cos 1^\circ+\sin 1^\circ)$

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1. A.
   8
2. B.
   6
3. C.
   $5\sqrt{2}$
4. D.
   5

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1. A.
   $-\dfrac{y^2 \tan x}{1 - y\ln(\cos x)}$
2. B.
   $\dfrac{y^2 \tan x}{1 + y\ln(\cos x)}$
3. C.
   $\dfrac{y^2 \tan x}{1 - y\ln(\sin x)}$
4. D.
   $\dfrac{y^2 \sin x}{1 + y\ln(\sin x)}$

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

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1. A.
   Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I
2. B.
   Both Statement I and Statement II are true, but Statement II is not the correct explanation of Statement I
3. C.
   Statement I is true, but Statement II is false
4. D.
   Statement I is false, but Statement II is true

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