The document is a geometry exam from Gokul Academy of Science for 9th standard students on theorems related to circles. It contains 4 questions asking students to write out geometry theorems with figures, including that a perpendicular from the circle center to a chord bisects the chord, the segment from the chord midpoint to the circle center is perpendicular to the chord, chords equidistant from congruent circle centers are congruent, and if angles subtended by chords at the circle center are congruent then the chords are congruent. The document provides the exam questions, theorems, and instructions to draw figures in 3 sentences or less.
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Ix geometry 25 12-11
1. GOKUL ACADEMY OF SCIENCE
15, Near Gajanan High School, New Subhedar Lay-out, Nagpur-24
Ph.No.0712-2743707, 6466067
Date : 25-12-2011 Subject : Geometry Std : IX- State
Time : 45:00 min ( Theorems) Max.Marks : 15
Q. 1. Write Following theorems with suitable figures. (Any Three)
Q. A The perpendicular drawn from the centre of a circle to a chord bisects the chord. (M-05)
Q. B The segment joining midpoint of a chord and the centre of a circle is perpendicular (M-05)
to the chord.
Q. C Chord which are equidistant from the centre of congruent circles are congruent. (M-05)
Q.D If the angles subtended by the chords at the centre of a circle are congruent then (M-05)
the corresponding chords are congruent.
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