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Earn +20 ptsQ: Which of the circles have their centers on the x-axis?
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Which of the circles have their centers in the third quadrant?
(x + 9)2 + (y + 12)2 = 36 (x + 16)2 + (y + 3)2 = 17
Prove that if chords of congruent circles subtend equal angles at their centers then the chords are equal?
let the two circles with centre O and P are congruent circles, therefore their radius will be equal. given: AB and CD are the chords of the circles with centres O and P respectively. ∠AOB=∠CPD TPT: AB=CD proof: in the ΔAOB and ΔCPD AO=CP=r and OB=PD=r ∠AOB=∠CPD therefore by SAS congruency, ΔAOB and ΔCPD are congruent triangle. therefore AB=CD
What is the locus of the centers of circles that are tangent to a given circle O at a given point A on circle O?
Join the centre of the circle O and the point A .Extend it to both sides to form a line.This is the required locus
What are circles with the same radius?
Circles with the same radius are congruent circles.
What are Circles having same centre but different radii called?
Concentric circles are circles with the same common centre.
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