Let S be the reflection of a point Q with respect to the plane given by 7 = (t+p)+tj+(1+ p)k where t, p are real parameters and i, j, k are the unit vectors along the three positive coordinate axes. If the position and a+Bj+yk respectively, then which of the following is/are vectors of Q and S are 10+15+20k

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Let S be the reflection of a point Q with respect to the plane given by 7 = −(t+p)î+tj+(1+ p)k where t, p are real parameters and i, j, k are the unit vectors along the three positive coordinate axes. If the position and aî+Bj+yk respectively, then which of the following is/are vectors of Q and S are 10+15+20k TRUE? (A) 3(a+B)=-101 (C) 3(y+a)= -86 (B) (D) 3(B+y)=-71 3(a+B+ y) = -121

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