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Question
If a quadrilateral ABCD is drawn to circumscribe a circle, then which of the options is true?
If a quadrilateral ABCD is drawn to circumscribe a circle, then which of the options is true?
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Solution
The correct option is B AB + CD = BC + AD
We know that , tangents drawn from a point outside the circle are equal in length.
So,
AS = AP
BQ = BP
CQ = CR
DS = DR
On adding the above equations we get,
AS + BQ + CQ + DS = AP + BP + CR + DR
(AS + DS) + (BQ + CQ) = (AP + BP) + (CR + DR)
⇒ AD + BC = AB + CD.
AB + CD = BC + AD
We know that , tangents drawn from a point outside the circle are equal in length.
So,
AS = AP
BQ = BP
CQ = CR
DS = DR
On adding the above equations we get,
AS + BQ + CQ + DS = AP + BP + CR + DR
(AS + DS) + (BQ + CQ) = (AP + BP) + (CR + DR)
⇒ AD + BC = AB + CD.
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