Question
Download Solution PDFIn the circle below, chord
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept Used:
According to the tangent secant theorem
DE2 = DB × DA
Calculation:
DB × DA = DE2
⇒ DB × (5 + DB) = 62
⇒ DB × (5 + DB) = 36
⇒ 5DB + DB2 = 36
⇒ DB2 + 5DB - 36 = 0
Solving the above quadratic equation,
DB = (-9) or DB = 4
As length can't be negative, DB = 4 cm
∴ The length of DB is 4 cm.
Shortcut Trick
DB × (5 + DB) = 36
By checking the options, we can solve this equation in less time
Thus, Option 03 satisfies the equation
∴ The length of DB is 4 cm.
Last updated on Jul 16, 2025
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