Question

pls answer this question 8 the one

Answer 1

1. Question⇒   If abcd be a rectangle and p be any point in the plane of the rectangle,then prove that pa^2+pc^2=pb^2+pd^2

Step-by-step

• PD² - DA'² = PA'² = PA² - AA'²
• similarly,  
• PC² - CC'² = PC'² = PB² - BC'²
• hence,
• PD² -  PA² = PC² - PB²
• ⇒PD² + PB² = PC² + PA²