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KCET2011MathematicsStraight Lines

The points A(1,2), B(2,4) and C(4,8) form a/an

Options

  1. Aisosceles triangle
  2. Bequilateral triangle
  3. Cstraight line
  4. Dright angled triangle

Correct answer

C. straight line

Step-by-step solution

Given points, A(1,2), B(2,4), C(4,8)A B= (2-1)²+(4-2)² = 1+4 = 5 B C= (4-2)²+(8-4)² = 4+16 = 20 C A= (1-4)²+(2-8)² = 9+36 = 45 Slope of A B= 4-2 2-1 =2 Slope of B C= 8-4 4-2 =2 Slope of C A= 2-8 1-4 =2 So, the three points form a straight line or three points are collinear.

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