A straight line is given by

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A straight line is given by r=(1+t)i+3tj+(1−t)k\mathbf{r}=(1+t)\mathbf{i}+3t\mathbf{j}+(1-t)\mathbf{k}, where t∈Rt\in\mathbb{R}. If this line lies in the plane x+y+cz=dx+y+cz=d, then the value of c+dc+d is: (1) −1-1 (2) 11 (3) 77 (4) 99

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