Question
Download Solution PDFஇரண்டு நாண்கள் AB மற்றும் CD ஆகியவை புள்ளிகள் O மற்றும் AO = (9x – 2) செ.மீ, BO = (2x + 2) செ.மீ, CO = 4x செ.மீ மற்றும் DO = (7x – 2) செ.மீ இல் வெட்டுகிறது எனில்,,AO (x > 1) இன் மதிப்பைக் காண்க?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFநமக்குத் தெரியும்,
AO × OB = OC × OD
⇒ (9x – 2) × (2x + 2) = (4x) × (7x – 2)
⇒ 18x2 – 4x + 18x – 4 = 28x2 – 8x
⇒ 10x2 – 22x + 4 = 0
⇒ 10x2 – 20x – 2x + 4 = 0
⇒ 10x(x – 2) – 2(x – 2) = 0
⇒ (x – 2)(10x – 2) = 0
⇒ x = 2 அல்லது x = 0.2
⇒ x = 2
AO = (9x – 2) = (18 – 2) = 16 செ.மீ
∴ AO இன் மதிப்பு 16 செ.மீ ஆகும்.
Last updated on May 1, 2025
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