Assertion : Let S 1 : x 2 + y 2 – 10x – 12y – 39 = 0 S 2 : x 2 + y 2 – 2x – 4y + 1 = 0 S…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

Assertion : Let S1 : x2 + y2 – 10x – 12y – 39 = 0
S2 : x2 + y2 – 2x – 4y + 1 = 0
S3 : 2x2 + 2y2 – 20x – 24y + 78 = 0
The radical centre of these circles taken pairwise is
(–2, –3)
Reason : Point of intersection of three radical axis of three circles taken in pairs is known as radical centre
  1. If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
  2. If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
  3. If Assertion is true, Reason is false.
  4. If Assertion is false, Reason is true.

Answer

(D) If Assertion is false, Reason is true.

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