If P is a point of C1 and Q is a point on C2, then (PA^2 + PB^2 + PC^2 + PD^2)/(QA^2 + QB^2 + QC^2+ QD^2) is equal to

Question

Read the following passage and answer the questions.

Let ABCD be a square of side length 2 unit. C₂ is the circle through vertices A,B,C ,D and C₁ is the circle touching all the sides of square ABCD. L is the line through A.

If P is a point of C₁ and Q is a point on C₂, then

(PA² + PB² + PC² + PD²)/(QA² + QB² + QC²+ QD²) is equal to

(a) 0.75

(b) 1.25

(c) 1

(d) 0.5

Answer 1

Correct option: (a) 0.75

Explanation:

Let, the equation of circles are