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BITSAT2021MathematicsStraight LinesActual

The points (0,7,10),(-1,6,6) and (-4,9,6) form

Options

  1. Aa right angled isosceles triangle
  2. Ba scalene triangle
  3. Ca right angled triangle
  4. Dan equilateral triangle

Correct answer

A. a right angled isosceles triangle

Step-by-step solution

Let P (0,7,10), Q (-1,6,6) and R (-4,9,6) be the vertices of a triangle Here, PQ = 1+1+16 =3 2 array l QR = 9+9+0 =3 2 PR = 16+4+16 =6 Now, PQ ²+ QR ²=(3 2 )²+(3 2 )²=36=( PR )² array Therefore, PQR is a right angled triangle at Q . Also, OQ = QR . Hence, PQR is a right angled isosceles triangle.

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