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JEE Advanced · Mathematics · 12. Circle

Match the statements in Column I with the properties Column II.

  1. A
    A-p, r; B-p, q, s; C-q, r; D-q, s
  2. B
    A-p; B-p, s; C-p; D-q, s
  3. C
    A-p, q; B-p, q; C-q, r; D-q, r
  4. D
    A-r, s; B-q; C-p; D-p, q, s
Verified Solution

Answer & Solution

Correct Answer

(C)
A-p, q; B-p, q; C-q, r; D-q, r

Step-by-step Solution

Detailed explanation

(A) When two circles are intersecting they have a common normal and common tangent.
(B) Two mutually extemal circles have a common normal and common tangent.
(C) When one circle lies inside of other, then they have a common normal but no common tangent.
(D) Two branches of a hyperbola have a common normal but no common tangent.
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