Case Study Questions for Class 10 Maths Chapter 10 Circles

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Case Study Questions for Class 10 Maths Chapter 10 Circles

Question 1:

A student draws two circles that touch each other externally at point K with centres A and B and radii 6 cm and 4 cm, respectively as shown in the figure.

Based on the above information, answer the following questions.
(i) The value of PA =
(a) 10 cm
(b) 5 cm
(c) 13 cm
(d) Can’t be determined

(ii) The value of BQ=
(a) 4 cm
(b) 5 cm
(c) 6 cm
(d) 18 cm

(iii) The value of PK =
(a) 13 cm
(b) 15 cm
(c) 16 cm
(d) 18 cm

(iv) The value of QY =
(a) 2 cm
(b) 5 cm
(c) 1 cm
(d) 3 cm

(v) If two circles touch externally, then the number of common tangents can be drawn is
(a) 1
(b) 2
(c) 3
(d) None of these

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