two circles intersect in a and b and AC and BD are respectively the diameters of the circle prove that cbdr colonyटू सर्कल्स इंटरसेप्ट इन ए एंड बी एंड एसी एंड ए डी आर एक्टिव द डायमीटर ऑफ द सर्कल स्टूडेंट सी बी डी कॉलेज नियर
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Join CB, BD and AB, Since, AC is a diameter of the circle with centre O.
∴ ∠ABC = 90° [angle in semi circle] ---- (i)
Also, AD is a diameter of the circle with center O .
∴ ∠ABD = 90° [angle in semi circle] ---- (ii)
on adding Eqns, (i) and (ii) we get
⇒ ∠ABC + ∠ABD = 180°
So. CBD is a straight line.
Hence C, B and D are collinear . Hence proved.
Step-by-step explanation:
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