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प्रश्न
Area bounded by the curve 7xy - 7x - 7y - 2 = 0, X-axis and the lines x = 2, x = 3 is ______.
पर्याय
`1 - 7/9` log 2 sq. units
`1 + 7/9` log 2 sq. units
`1 - 9/7` log 2 sq. units
`1 - 9/7` log 2 sq. units
MCQ
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उत्तर
`1 - 9/7` log 2 sq. units.
Explanation:
7xy - 7x - 7y - 2 = 0
⇒ y(7x - 7) = 7x + 2
⇒ y = `(7"x" + 2)/(7"x" - 7)`
∴ Required area = `int_2^3 "y" dx = int_2^3 (7"x" + 2)/(7"x" - 7)`dx
`= [x + 9/7 log ("7x" - 7)]_2^3`
= `1 - 9/7` log 2 sq. units.
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