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JEE Main201911 Jan 2019Evening ShiftMathematicsVector AlgebraActual

Let 3 i + j , i + 3 j and i +(1- ) j respectively be the position vectors of the points A , B and C with respect to the origin O . If the distance of C from the bisector of the acute angle between OA and OB is 3 2 , then the sum of all possible values of is:

Options

  1. A4
  2. B3
  3. C2
  4. D1

Correct answer

D. 1

Step-by-step solution

Since, the angle bisector of acute angle between O A and O B would be y=x Since, the distance of C from bisector = 3 2 | -(1- ) 2 |= 3 2 =2 = 3+1 =2 or =-1 Hence, the sum of all possible value of =2+(-1)=1

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