AP EAMCET2007MathematicsStraight Lines
The area (in square unit) of the triangle formed by the points with polar coordinates (1,0), (2, 3 ) and (3, 2 3 ) is
Options
- A11 3 4
- B5 3 4
- C5 4
- D11 4
Correct answer
B. 5 3 4
Step-by-step solution
Area of the triangle formed by the points with polar coordinates (1,0), (2, 3 ) and (3, 2 3 ) is aligned & 1 2 | r₁ r₂ ( ₁- ₂ ) | & = 1 2 2 1 (0- 3 )+2 3 ( 3 - 2 3 ) & +3 1 ( 2 3 -0 ) & = 1 2 |-2 3 2 - 6 3 2 + 3 3 2 | & = 1 2 | -5 3 2 | & = 5 3 4 sq unit & aligned