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Question 1
Two chords subtend an angle of 90° and 60° respectively at the center. If the radius of the circle is 5cm, find the sum of length of the two chords.
Question 2
In the given figure, O is the centre of the circle. If ∠AOC = 90°, find ∠ABC
Question 3
If two circles of same radii whose centers are O and O’ intersect each other at the point D and E, OO’ = 12cm and DE = 16 cm, then the radius of the circle is,
Question 4
In figure 
if 
and 
then the value of x
if and then the value of x Question 5
One pair of opposite angles of a cyclic quadrilateral are in in the ratio 4 : 5. If one of the other angles of the quadrilateral is 120 °. What is the measure of the smallest angle of the quadrilateral?
Question 6
The measures of three angles of a quadrilateral are in the ratio 1 : 2 : 3. If the sum of these three measures is equal to the measure of the fourth angle, find the smallest angle.
Question 7
In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be
Question 8
Two angles of a triangle are in the ratio of 9:7 and the third angle is 25% of the sum of the other two angles. Find the difference between the largest and smallest angles.
Question 9
Base of a right pyramid is a square, length of diagonal of the base is 24 
m. If the volume of the pyramid is 1728 cu.m, its height is
m. If the volume of the pyramid is 1728 cu.m, its height is Question 10
The perimeter of a rhombus is 146 cm and one of its diagonals is 55 cm. The other diagonal is
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Jul 24SSC & Railway
