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JEE Main2008MathematicsThree Dimensional GeometryActual

If the straight lines x-1 k = y-2 2 = z-3 3 and x-2 3 = y-3 k = z-1 2 intersect at a point, then the integer k is equal to

Options

  1. A-5
  2. B5
  3. C2
  4. D-2

Correct answer

A. -5

Step-by-step solution

x-1 k = y-2 2 = z-3 3 and x-2 3 = y-3 k = z-1 2 Since lines intersect in a point aligned & | array ccc k & 2 & 3 3 & k & 2 1 & 1 & -2 array |=0 & 2 k^2+5 k-25=0 & k=-5,5 / 2 . aligned Directions: Questions number 17 to 21 are Assertion-Reason type questions. Each of these questions contains two statements : Statement - 1 (Assertion) and Statement-2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.

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