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Question 15 Marks
The center of a circle is at point O and its radius is 8 cm. State the position of a point P (point P may lie inside the circle, on the circumference of the circle, or outside the circle), when:
(a) OP = 10.6 cm
(b) OP = 6.8 cm
(c) OP = 8 cm
Answer
(a) Draw circle each of radius 8 cm. With centre O In the following figure (i) draw OP = 10.6 cm
(i)

(ii)

(iii)

We see that point P lies outside the circle as OP > radius of the circle
(b) In the above figure (ii) OP = 6.8 cm. We see that P lies inside the circle as OP < radius of the circle.
(c) In the above figure, OP = 8 cm. We see that P lies on the circle as OP = radius of the circle.
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Question 25 Marks
Construct a triangle ABC with AB = 5 cm, ∠B = 60° and BC = 6. 4 cm. Draw the incircle of the triangle ABC.
Answer
Steps of Construction:

(i) Draw a line AB = 5 cm.
(ii)B as a center draw an angle with the help of compass ∠B = 60°. Cut the line with an arc BC = 6 4 cm.
(iii) Join AC.
(iv) Now, from A and B cut the bisector of ∠A and ∠B, which intersect each other at point D.
(v) With D as a centre draw an in a circle which touches all the three sides of AABC.
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[5 marks sum] - MATHS STD 6 Questions - Vidyadip