Let S be the reflection of a point Q with respect to the plane given by r =-(t+p) i +t j…

Let S be the reflection of a point Q with respect to the plane given by \(\vec{r}=-(t+p) \hat{i}+t \hat{j}+(1+p) \hat{k}\), where
t and p are real parameters and \(\hat{i, j, \hat{j}}\) are the unit vectors along the three positive coordinate axes. If the position vectors of Q and S are \(10 \hat{i}+15 \hat{j}+20 \hat{k}\)and \(\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k}\) respectively, then which of the following is/are true ?