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Theorem: Prove that angle in a semicircle is a right angle. OR Prove that angle subtended by a diameter is always a right angle. Theorem 10.8 Theorem 10.10 The proof of this theorem 10.8 is a prerequisite to prove this…
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Theorem 10.9: Angles in the same segment of a circle are equal. Theorem 10.8 Theorem 10.10 Prerequisite The proof of this theorem 10.8 is a prerequisite to prove this theorem. To prove that angles subtended by an arc in the…
Read MoreTheorem 10.8: The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle. Theorem 10.7 Theorem 10.9 This is a very important theorem on circles…
Read MoreTheorem 10.7: Chords equidistant from the centre of a circle are equal in length. Theorem 10.6 Theorem 10.8
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Theorem 10.6: Equal chords of a circle (or of congruent circles) are equidistant from the centre (or centres). Theorem 10.5 Theorem 10.7
Read MoreTheorem 10.5: There is one and only one circle passing through three given non-collinear points. Theorem 10.4 Theorem 10.6
Read MoreTheorem 10.4: The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord. Theorem 10.3 Theorem 10.5
Read MoreTheorem 10.3: Equal chords of a circle subtend equal angles at the centre. (NCERT Mathematics) Theorem 10.4 Theorem 10.4
Read MoreTheorem 10.1: Equal chords of a circle subtend equal angles at the centre. (NCERT Mathematics) Home page Theorem 10.2
Read MoreTheorem 10.2: If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal. (NCERT Mathematics) Theorem 10.1 Theorem 10.3
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