A quadrilateral ABCD is drawn to circumscribe a circle, as shown in - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic

part 2 - Question 28 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 28 A quadrilateral ABCD is drawn to circumscribe a circle, as shown in the given figure. Show that "AB + CD" /"AD + BC" "= 1"We know that, Lengths of tangents drawn from external point are equal So, AP = AS BP = BQ CR = CQ DR = DS Adding all the above equations AP + BP + CR + DR = AS + BQ + CQ + DS Grouping them (AP + BP) + (CR + DR) = (AS + DS) + (BQ + CQ) AB + CD = AD + BC Dividing (𝑨𝑩+𝑪𝑫)/(𝑨𝑫+𝑩𝑪)=𝟏 Hence proved

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