Day 521: MHT-CET Maths

1. A.
   $\frac{- 1}{4}\sin^{- 1}\left( \frac{\cos^{2}2x}{3} \right) + c$ where c is the constant of integration.
2. B.
   $\frac{- 1}{4}\sin^{- 1}\left( \frac{\cos^{2}2x}{2} \right) + c$, where c is the constant of integration.
3. C.
   $\frac{1}{2}\sin^{- 1}\left( \frac{\cos^{2}2x}{2} \right) + c$, where c is the constant of integration.
4. D.
   $\frac{- 1}{2}\sin^{- 1}\left( \frac{\cos^{2}2x}{2} \right) + c$, where c is the constant of integration.

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1. A.
   $\cos^{- 1}\left( \frac{2}{9} \right)$
2. B.
   $\ \cos^{- 1}\left( \frac{- 4}{9} \right)$
3. C.
   $\cos^{- 1}\left( \frac{2}{3} \right)$
4. D.
   $\ \cos^{- 1}\left( \frac{1}{9} \right)$

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1. A.
   $\ \frac{c}{2}\sqrt{4a^{2} - b^{2}}$
2. B.
   $\ \frac{c}{4}\sqrt{4a^{2} - c^{2}}$
3. C.
   $\frac{b}{2}\sqrt{4b^{2} - c^{2}}$
4. D.
   $\ \frac{b}{4}\sqrt{4b^{2} - c^{2}}$

Tap an option to check your answer.

1. A.
   $- 5\widehat{i} + 2\widehat{j} + \widehat{k}$
2. B.
   $- \widehat{i} + 0\widehat{j} - \widehat{k}$
3. C.
   $\widehat{i} - \widehat{k}$
4. D.
   $\ 5\widehat{i} - 2\widehat{j} - \widehat{k}$

Tap an option to check your answer.

1. A.
   9.00898
2. B.
   9.0989
3. C.
   9.0898
4. D.
   9.00989

Tap an option to check your answer.