Question

In a cartesian plane, if the co-ordinates of a triangle ABC with A (a, 3), B (5, b) and C (a, b) are in a relation such that 3 times of abscissa is equal to 2 times of its ordinate. Write the co-ordinate of triangle ABC . Hence also write the co-ordinates of image of ABC . With respect to x-axis​

Answer 1

Answer:

(i) Distance of A from the Y-axis = OL = -6 units

Distance of A from the X-axis = AL = 5 units

Hence, the coordinates of A are (-6,5).

(ii) Distance of B from the Y-axis = OM = 5 units

Distance of B from the X-axis = BM = 4 units

Hence, the coordinates of B are (5,4).

(iii) Distance of C from the Y-axis = ON = -3 units

Distance of C from the X-axis = CN = 2 units

Hence, the coordinates of C are (-3,2).

(iv) Distance of D from the Y-axis = OP = 2 units

Distance of D from the X-axis = DP = -2 units

Hence, the coordinates of D are (2,-2).

(v) Distance of E from the Y-axis = OL = -1 units

Distance of E from the X-axis = AL = -4 units

Hence, the coordinates of E are (-1,-4).