Definite Integration Question 320

Question: If A is the area of the region bounded by the curve $ y=\sqrt{3x+4} $ , x axis and the line $ x=-1 $ and $ x=4 $ and B is that area bounded by curve $ y^{2}=3x+4 $ , x- axis and the lines $ x=-1 $ and $ x=4 $ then $ A:B $ is equal to

[J& K 2005]

Options:

A) $ 1:1 $

B) $ 2:1 $

C) $ 1:2 $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

In both cases area will be same, hence ratio $ A:B $ is 1 : 1.