BITSAT2015MathematicsThree Dimensional GeometryActual

Two lines L₁: x=5, y 3- = z -2 L ₂: x = , y -1 = z 2- are coplanar. Then, can take value (s)

Options

A1,4,5
B1,2,5
C3,4,5
D2,4,5

Correct answer

A. 1,4,5

Step-by-step solution

The equations of given lines can be written as array l L ₁: x -5= y 3- = z -2 ~L ₂: x - = y -1 = z 2- array Since, these lines are coplanar. array l Therefore, | array ccc 5- & 0-0 & 0-0 0 & 3- & -2 0 & -1 & 2- array |=0 (5- )(3- )(2- )-2=0 (5- ) (6-3 -2 + ²-2 ]=0 (5- ) ( ²-5 +4 ]=0 (5- )( -1)( -4)=0 =1,4,5 array

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