Q74 / 160 · TS EAMCET 2018 (05 May Shift 2) · Mathematics

If the line $\mathbf{r}=\mathbf{a}+t \mathbf{b}$ is parallel to the plane $\mathbf{r}=\mathbf{c}+l \mathbf{d}+m \mathbf{e}$, then

  • A
    $[\mathrm{abc}]=0$
  • B
    $[\mathrm{bcd}]=0$
  • C
    $[\mathrm{cde}]=0$
  • Correct answer
    D
    $[\mathrm{bde}]=0$

Solution

We have, Line $\mathbf{r}=\mathbf{a}+\mathbf{l} \mathbf{b}$ is paralleI to the plane $\mathbf{r}=\mathbf{c}+l \mathbf{d}+m \mathbf{e}$ $\therefore$ Normal vector of plane are $(\mathrm{d} \times \mathbf{e})$. Since, line and plane are parallel.

Hence, the correct answer is option: 'D'.

Relevant Questions