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If two equal chords of a …

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If two equal chords of a circle intersect within the circle,prove that the line joining the point of intersection to the centre make equal angles with its chords

Posted by Sahil Kasar 8 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Shubham Pandey 8 years, 3 months ago

Given: AB=CD . To Prove: angle OXA = angle OXD. Proof: Draw, OP perpendicular to AB and OQ perpendicular to CD. In triangle OPX & triangle OQX, we get angle OPX = angle OQX (each 90°) OX = OX (common) OP = OQ (AB & CD are equal chords and equal chords are equidistant from the center) So, triangle OPX congruent to triangle OQX (by RHS congruence rule ) So, that angle OXP = angle OXQ ( by cpct). i.e., angle OXA = angle OXD. Hence, proved .

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2x²+[1×(8x²)^-1]+1

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CBSE > Class 09 > Mathematics