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CDS || Mathematics || Geometry || 29-03-2019

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Question 1

The difference of the two angles in degree measure is 1 and their sum in circular measure is also 1. What are the angles in circular measure?

Question 2

Distance between the centers of two circles of radii and is 4 meters, where . How many common tangents can be drawn?

Question 3

In an isosceles triangle, the sum of equal angles is five time the unequal angle, then each equal angle is

Question 4

What is the locus of centres of circles which touch a given line at a given point ?

Question 5

PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If RPQ = 38°, then what is the value (in degrees) of PSR?

Question 6

The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

Question 7

The three sides of a triangle are 10 , 100 and . Which one of the following is correct ?

Question 8

The area of the largest circle, which can be inscribed in a square whose perimeter is 240 cm, is

Question 9

If PA and PB are two tangents to a circle with centre O such that Then,

Question 10

Three lines intersect each other in pairs. What is the number of angles so formed?
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Apr 28CDS & Defence