MCQ
The vector $2\,i + j - k$ is perpendicular to $i - 4j + \lambda k,$ if $\lambda = $
- A$0$
- B$-1$
- ✓$-2$
- D$-3$
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$2 x+y-z=5$
$2 x-5 y+\lambda z=\mu$
$x+2 y-5 z=7$
has infinitely many solutions, then $(\lambda+\mu)^2+(\lambda-\mu)^2$ is equal to
$S_1$ : If $f(x)$ is a differentiable function with $f'(x)$ = $0$ in $(a, b)$ and $f(x)$ is increasing in $(a, b)$ , then $\frac {f(x)}{f\ '(x)}$ is also increasing in $(a, b).$
$ S_2$ : Both $sin\ x$ and $tan\ x$ are increasing function in $(0,\frac{\pi}{2})$. Which of the following is true
