Circle Ques 39

  1. Match the conditions/expressions in Column I with statement in Column II.
Column I Column II
A. Two intersecting circles p. have a common tangent
B. Two mutually external circles q. have a common normal
C. Two circles, one strictly inside
the other
r. do not have a common
tangent
D. Two branches of a hyperbola s. do not have a common
normal

Analytical & Descriptive Questions

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Answer:

Correct Answer: 39.$A \rightarrow p,q; \quad B \rightarrow p,q; \quad C \rightarrow q,r; \quad D \rightarrow q,r$

Solution:

Formula:

Common Tangents of Two Circles

  1. (A) When two circles are intersecting they have a common normal and common tangent.

(B) Two mutually external 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.