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AP EAMCET · Maths · Circle

The area of the circle passing through the points 5,±2,1,2 is

  1. A 8π
  2. B 4π
  3. C 2π
  4. D 16π
Verified Solution

Answer & Solution

Correct Answer

(A) 8π

Step-by-step Solution

Detailed explanation

Plotting the diagram of given points we get, ​​​​​​​ Now AB=42+02=4 And AC=42+42=42 And BC=02+42=4 ∴ AB2+BC2=AC2 {as 16+16=32} ∴ It is right angled triangle. ∴ Diameter =AC or hypotenuse So, length of Diameter =42 ∴ Radius =22 Now area will be…