Question
Download Solution PDFIn the given figure
XYZ is a secant and ZT is a tangent. What is the value of x.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
XYZ and ZT are secant and tangent respectively for the same circle
ZT = 6 cm, ZY = 4 cm and YX = x cm
Concept used :
If PAB is a secant to a circle intersecting it at A and B and PT is a tangent then PA × PB = PT2
Calculations :
By using the above concept,
⇒ ZX × ZY = ZT2
⇒ 4 × (YZ + XY) = 62
⇒ 4 × (4 + x) = 36
⇒ 4 + x = 9
⇒ x = 5
∴ Length of x is 5 cm
Last updated on May 28, 2025
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