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Question

Points A (2 stack i with hat on topstack j with hat on top + stack k with hat on top), B(stack i with hat on top3 stack j with hat on top5 stack k with hat on top), C(3 stack i with hat on top4 stack j with hat on top4 stack k with hat on top) are the vertices of -

  1. Equilateral Triangle  
  2. Collinear  
  3. Right Angled Triangle  
  4. None of these  

The correct answer is: Right Angled Triangle


     AB = |stack A B with rightwards arrow on top| = square root of 41

    BC = |stack B C with rightwards arrow on top| = square root of 6
    CA = |stack C A with rightwards arrow on top| = square root of 35
    & check the nature of the triangle
    table row cell A B to the power of 2 end exponent equals B C to the power of 2 end exponent plus C A to the power of 2 end exponent end cell end table
     Right angle triangle.

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