Title CIRCLES AND SYSTEM OF CIRCLES_DPP_explanations_2025-06-04.pdf ✅

DPP for GEOMETRICAL PROBLEMS REGARDING CIRCLE AND ITS PROPERTIES MATH Chapter: CIRCLES AND SYSTEM OF CIRCLES Topic: GEOMETRICAL PROBLEMS REGARDING CIRCLE AND ITS PROPERTIES Date: 04 Jun 2025 Type: DPP 1. is a square, the length of whose side is . Taking and as the coordinate axes, the equation of the circle passing through the vertices of the square, is (1) (2) (3) (4) Explanation: According to the figure , and and centre is . Therefore, the equation of circle is . - Difficulty Level: 0% - Total Asks: 37 ABCD a AB AD x 2 + y 2 + ax + ay = 0 x 2 + y 2 − ax − ay = 0 x 2 + y 2 + 2ax + 2ay = 0 x 2 + y 2 − 2ax − 2ay = 0 A(0, 0) B(a, 0) D(0, a) ( a 2 , a 2 ) (x − a 2 ) 2 + (y − a 2 ) 2 = a 2 2 ⇒ x 2 + y 2 − ax − ay = 0