JEE Main2013MathematicsThree Dimensional GeometryActual

If the lines x+1 2 = y-1 1 = z+1 3 and x+2 2 = y-k 3 = z 4 are coplanar, then the value of k is :

Options

A11 2
B- 11 2
C9 2
D- 9 2

Correct answer

A. 11 2

Step-by-step solution

Two given planes are coplanar, if aligned & | array ccc -2-(-1) & k-1 & 0-(-1) 2 & 1 & 3 2 & 3 & 4 array |=0 & | array ccc -1 & k-1 & 1 2 & 1 & 3 2 & 3 & 4 array |=0 & (-1)(4-9)-(k-1)(8-6)+6-2=0 & k= 11 2 aligned

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