Day 284: MHT-CET Maths

1. A.
   $\frac{-\hat{i}-3\hat{j}+\hat{k}}{\sqrt{11}}$
2. B.
   $\frac{\hat{i}-3\hat{j}+\hat{k}}{\sqrt{11}}$
3. C.
   $\frac{\hat{i}+3\hat{j}-\hat{k}}{\sqrt{11}}$
4. D.
   $\frac{\hat{i}+3\hat{j}+\hat{k}}{\sqrt{11}}$

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1. A.
   $\frac{60}{7}$ units
2. B.
   $\frac{7}{60}$ units
3. C.
   $\frac{1}{7}$ units
4. D.
   $\frac{2}{7}$ units

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1. A.
   $\left\{\frac{\pi}{6}, \frac{7\pi}{6}, \frac{3\pi}{2}\right\}$
2. B.
   $\left\{\frac{\pi}{6}, \frac{5\pi}{6}\right\}$
3. C.
   $\left\{\frac{\pi}{6}, \frac{5\pi}{6}, \frac{3\pi}{2}\right\}$
4. D.
   $\left\{\frac{5\pi}{6}, \frac{11\pi}{6}, \frac{3\pi}{2}\right\}$

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1. A.
   $-a^2b^2$
2. B.
   $a^2b^2$
3. C.
   $a^2b^2\cos\theta$
4. D.
   $a^2b^2\sin\theta$

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1. A.
   $\vec{r}=(\hat{i}+2\hat{j}+3\hat{k})+\lambda(-4\hat{i}-7\hat{j}-13\hat{k})$
2. B.
   $\vec{r}=(\hat{i}+2\hat{j}+3\hat{k})+\lambda(-4\hat{i}+7\hat{j}-13\hat{k})$
3. C.
   $\vec{r}=(\hat{i}+2\hat{j}+3\hat{k})+\lambda(-4\hat{i}-7\hat{j}-13\hat{k})$
4. D.
   $\vec{r}=(\hat{i}+2\hat{j}+3\hat{k})+\lambda(4\hat{i}-7\hat{j}-13\hat{k})$

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