Question
Question: A, B, C, D are the points of intersection with the coordinate axes of the lines ax + by = ab and bx ...
A, B, C, D are the points of intersection with the coordinate axes of the lines ax + by = ab and bx + ay = ab. Then
A
A, B, C, D are concyclic
B
A, B, C, D forms a parallelogram
C
A, B, C, D forms a rhombus
D
None of these
Answer
A, B, C, D are concyclic
Explanation
Solution
The coordinates of A, B, C and D are A (b, 0), B(0, a), C(a, 0), D(0, b). Since OA. OC = OB. OD = ab,
A, B, C, D are concyclic