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Question 1
Chord PQ is the perpendicular bisector of radius OA of circle with center O (A is a point on the edge of the circle). If the length of Arc PAQ =
. what is the length of chord PQ?
. what is the length of chord PQ? Question 2
What can be the maximum number of common tangent which can be drawn to two non-intersecting circles?
Question 3
There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres2) of the path?
Question 4
Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?
Question 5
The sum of radii of the two circles is 91 cm and the difference between their area is 2002 cm2. What is the radius (in cm) of the larger circle?
Question 6
Two circle of same radius 5 cm intersect each other at A and B. If AB = 8 cm, then distance between their centers is:
Question 7
In the given figure o is the centre of the circle, 
and 
Then the value of 
is :
and Then the value of is : Question 8
A, B and C are the three points on a circle such that the angles subtended by the chords AB and AC at the center O are 90° and 110° respectively. Then ∠BAC is equal to:
Question 9
In the given figure ∠AOC = 120° Find the ∠CBE where O is the center:
Question 10
ABC is a right angled at C. What is the inradius of the incircle shown in the figure?
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Jun 26ESE & GATE EE
