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49, Two circles whose centres are O and O' intersect at P. Through P, a lineI parallel to OO', intersecting the circle at C and D is drawn. Prove thatCD = 200".O' |
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Answer» Draw OL ⟂ CD and O'B ⟂ CDNow, OA ⟂ CD⇒ OA ⟂ CD⇒ CA = AP = 1/2 AP⇒ CP = 2AP ...i)Similarly, O'B ⟂ CD⇒ O'B ⟂ CD⇒ PB = BD = 1/2 PD⇒ PD = 2PB ...ii)Also, CD = CP + PD= 2AP + 2PB = 2(AP + PB) = 2ABCD = 2OO' [∵ OABO' is a rectangle] very very thanks |
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