Question
Download Solution PDFFind the value of x in the following diagram, where both the lines represent chords of the circle, and the point denotes the centre of circle. Also given that a = b = x and c = 36 and d = 14.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
PA × PB = PC × PD
Calculations:
According to the theorem:
PA × PB = PC × PD
We are given:
a = x
b = x
c = 36
d = 14
⇒ x × 2x = 36 × 50
⇒ 2x2 = 1800
⇒ x2 = 1800/2
⇒ x2 = 900
⇒ x = √900 = 30
Therefore, the value of x is 30.
Last updated on Dec 9, 2024
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