Question
Download Solution PDFDE is a chord and KDE is a secant of a circle. If KD = 9 cm, DE = 7 cm and KH is a tangent to the circle at point H, then find KH.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
DE is the chord of a circle.
KD = 9 cm ; DE = 7 cm
Concept used:
If a tangent and a secant are drawn from a common point outside the circle then,
Tengent2 = line of secant × (line of sacant - chord)
Calculation:
From tangent and secant relation:
⇒ KH2 = KD × KE
⇒ KH2 = 9 × 16
⇒ KH = √144 = 12 cm
∴ The correct answer is 12 cm.
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