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AP EAMCET201920 Apr 2019Morning ShiftMathematicsStraight LinesActual

If (P(0,7,10), Q(-1,6,6) ) and (R(-4,9,6) ) are three points in the space, then (P Q R ) is

Options

  1. Aright angled isosceles triangle
  2. Bequilateral triangle
  3. Cisosceles but not right angled triangle
  4. Dscalene triangle

Correct answer

A. right angled isosceles triangle

Step-by-step solution

Given points (P(0,7,10), Q(-1,6,6) ) and (R(-4,9,6) ) ( aligned & P Q= 1+1+16 = 18 =3 2 & Q R= 9+9+0 = 18 =3 2 & and P R= 16+4+16 = 36 =6 & P Q^2+Q R^2=18+18=36=P R^2 and P Q=Q R aligned ) ( P Q R ) is a right angled isosceles triangle. Hence, option (1) is correct.

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