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MHT CET202314 May 2023Morning ShiftMathematicsThree Dimensional GeometryActual

If ABC is right angled at A , where A (4,2, x), B (3,1,8) and C (2,-1,2) , then the value of x is

Options

  1. A4
  2. B2
  3. C3
  4. D1

Correct answer

C. 3

Step-by-step solution

Since ABC is right angled at A , aligned & AB AC =0 & [- i - j +(8-x) k ] (-2 i -3 j +(2-x) k )=0 & 2+3+(8-x)(2-x)=0 & x^2-10 x+21=0 & (x-3)(x-7)=0 & x=3 or x=7 aligned

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