2. Questions Bank
  3. 10th Class
  4. Mathematics
  5. Coordinate Geometry

10th Class Mathematics Coordinate Geometry Question Bank Coordinate Geometry

  • question_answer
    Find the area (in square units) of the triangle whose vertices are \[(a,\,b+c),\] \[(a,\,b-c)\] and \[(-a,c)\].

    A)  \[2ac\]          

    B)         \[2bc\]

    C)         \[b(a+c)\]      

    D)         \[c(a-b)\]        

    Correct Answer: A

    Solution :

    Area of triangle \[=\frac{1}{2}|[{{x}_{1}}({{y}_{2}}-{{y}_{3}})+{{x}_{2}}({{y}_{3}}-{{y}_{1}})+{{x}_{3}}({{y}_{1}}-{{y}_{2}})]|\]\[=\frac{1}{2}|[a(b-2c)+a(-b)-a(2c)]|=2ac\]


You need to login to perform this action.
You will be redirected in 3 sec spinner