Jee Advanced
3d Geometry
JEE Advanced 2022 Paper 1 Online
MCQM+4 / -22022
Let \(S\) be the reflection of a point \(Q\) with respect to the plane given by
\(\vec{r}=-(t+p) \hat{\imath}+t \hat{\jmath}+(1+p) \hat{k}\)
where \(t, p\) are real parameters and \(\hat{\imath}, \hat{\jmath}, \hat{k}\) are the unit vectors along the three positive coordinate axes. If the position vectors of \(Q\) and \(S\) are \(10 \hat{\imath}+15 \hat{\jmath}+20 \hat{k}\) and \(\alpha \hat{\imath}+\beta \hat{\jmath}+\gamma \hat{k}\) respectively, then which of the following is/are TRUE ?
\(\vec{r}=-(t+p) \hat{\imath}+t \hat{\jmath}+(1+p) \hat{k}\)
where \(t, p\) are real parameters and \(\hat{\imath}, \hat{\jmath}, \hat{k}\) are the unit vectors along the three positive coordinate axes. If the position vectors of \(Q\) and \(S\) are \(10 \hat{\imath}+15 \hat{\jmath}+20 \hat{k}\) and \(\alpha \hat{\imath}+\beta \hat{\jmath}+\gamma \hat{k}\) respectively, then which of the following is/are TRUE ?