Question
Download Solution PDFIn the given figure, chords AB and CD intersect each other at a point X. Then, the value of k is-
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
AX = 24
XB = k
CX = (k + 2)
XD = 16
Formula Used:
If two chords AB and CD intersecting at point X.
Then, AX × XB = CX × XD
Calculation:
AX × XB = CX × XD
⇒ 24 × k = (k + 2) × 16
⇒ 3k = 2(k + 2)
⇒ 3k - 2k = 4
⇒ k = 4
So, the value of k is 4.
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