Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
2.6k views
in Trigonometry by (53.3k points)

Two circles are circumscribed and inscribed about a square ABCD of side 2 units. If P and Q are two points on respective circles, ∑(PA)2 - ∑(QA)2  = ...........

1 Answer

+1 vote
by (53.1k points)
selected by
 
Best answer

Let centre of square (point of intersection of diagonals) be origin. 

Vertices of square are A(1, 1), B(–1, 1), C(–1, –1) and D(1, –1). Radius of circumscribed or inscribed circles are 2 and 1, respectively.

Let any point P and Q on circumscribed and inscribed circles, respectively, be (√2 cosα,√2 sin α) and (cosβ, sinβ). Therefore,

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...