Day 109: MHT-CET Maths

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

Tap an option to check your answer.

1. A.
   a parallelogram which is neither a rhombus nor a reactangle
2. B.
   a square
3. C.
   a rectangle but not a square
4. D.
   a rhombus but not a square

Tap an option to check your answer.

1. A.
   $\log y + \dfrac{1}{y} + e^x\cos^2 x = 1$
2. B.
   $\log y + y + e^x\cos^2 x = 2$
3. C.
   $(y + 1) + e^x\cos^2 x = 2$
4. D.
   $\log\left(y + \dfrac{1}{y}\right) + e^x\cos^2 x = 1$

Tap an option to check your answer.

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

Tap an option to check your answer.

1. A.
   $\pm\dfrac{1}{\sqrt{3}}(\hat{i} + \hat{j} + \hat{k})$
2. B.
   $\pm\dfrac{1}{\sqrt{3}}(\hat{i} - \hat{j} + \hat{k})$
3. C.
   $\pm\dfrac{1}{\sqrt{2}}(\hat{j} - \hat{k})$
4. D.
   $\pm\dfrac{1}{\sqrt{2}}(\hat{j} + \hat{k})$

Tap an option to check your answer.