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Question 1
ABCD passes through the centres of the three circles as shown in the figure where AB= 2 cm and CD= 1 cm. If the area of middle circle is the average of the areas of the other two circles, then what is the length (in cm) of BC?
Question 2
Suppose P, Q and R are the mid-points of sides of a triangle of area 128 cm2. If a triangle ABC is drawn by joining the mid-points of sides of triangle PQR, then what is the area of triangle ABC?
Question 3
If the altitude of an equilateral triangle are increased by 20% while its area remains same, its corresponding base will have to be decreased by :
Question 4
In a circle of radius 10.5 cm, the minor arc is one-fifth of the major arc. Find the area if the sector corresponding to the major arc.
Question 5
A circular disc of radius 6 cm is divided into three sectors with central angles . Calculate the ratio of the areas of three sectors.
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Apr 24CDS & Defence