XAT 2023 Coordinate Geometry Question (Medium)

Question

ABC is a triangle and the coordinates of A, B and C are a, b-2c , a, b 4c -2a,3c respectively where a,b,c are positive numbers. The area of the triangle ABC is

Optima Learn · Accepted Answer

Use the determinant formula for the area of a triangle with vertices x_1,y_1 , x_2,y_2 , x_3,y_3 2 left x_1 y_2-y_3 x_2 y_3-y_1 x_3 y_1-y_2 right . Here, A a,b-2c , B a,b 4c , C -2a,3c . So 2 left a big b 4c -3c big a big 3c- b-2c big -2a big b-2c - b 4c big right . Simplify inside b 4c -3c b c, qua

XAT 2023 Coordinate Geometry — Previous Year Question

XAT 2023

Quantitative

Coordinate Geometry

Medium

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