Question
Download Solution PDFAB, CD എന്നീ രണ്ട് ഞാണുകൾ O എന്ന ബിന്ദുവിൽ പരസ്പരം ഛേദിക്കുകയും AO = (9x – 2) cm, BO = (2x + 2) cm, CO = 4x cm, DO = (7x – 2) cm എന്നിങ്ങനെ ആണെങ്കിൽ, AO (x > 1) ന്റെ മൂല്യം കണ്ടെത്തുക?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFനമുക്ക് അറിയാവുന്നത് പോലെ,
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 or x = 0.2
⇒ x = 2
AO = (9x – 2) = (18 – 2) = 16 cm
∴ AO യുടെ മൂല്യം 16cm ആണ്.
Last updated on May 1, 2025
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