Definite Integration Question 13
Question: Area bounded by the curve $ xy-3x-2y-10=0, $ x-axis and the lines $ x=3,x=4 $ is
[AI CBSE 1991]
Options:
A) $ 16\log 2-13 $
B) $ 16\log 2-3 $
C) $ 16\log 2+3 $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Given curve is $ y(x-2)=3x+10\Rightarrow y=\frac{3x+10}{x-2} $
Required area is $ \int_3^{4}{ydx=\int_3^{4}{\frac{3x+10}{x-2}dx}} $
= $ [3x+16\log (x-2)]_3^{4}=3+16\log 2 $ sq. unit.
BETA
