Question

. People of village want to construct a road nearest to the circular village Khamkar. The
road cannot pass through the village. But the people want the road should be at the shortest
distance from the centre of the village. Suppose the road start from point O which is outside
the circular village and touch the boundary of the circular village at point A such that OA=20
cm. And also the straight distance of the point O from the centre C of the village is 25 cm.
i) Find the shortest distance of the road from the centre of the village
a) 15 cm
b) 14 cm
c) 13 cm
d) 12 cm
ii) Which method should be applied to find the shortest distance?
a) Concept of tangent to a circle
b) Pythagoras theorem
c) Both a and b
d) None of these
iii) If a point is outside the circle , how many tangents can be drawn from that point?
a) 0
b) 1
c) 2
d) 3
iv) If two circles are externally and they do not touch, then find the number of common
tangents.
a) 2
b) 3
c) 4
d) 1
v) If we draw two tangents roads at the end of the diameter , then these tangent roads are
always
a) parallel
b) perpendicular
c) coincident
d) None of these

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

i) a. 15cm

ii) b. Pythagoras theorem

iii) a. 0

iv) b. 3

v) a. parallel