Question
Download Solution PDFComprehension
Direction : Consider the following for the items that follow :
The area bounded by the parabola y2 = kx and the line x = k, where k > 0, is 4/3 square units.
What is the value of k?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given:
The area bounded by the parabola y2 = kx and the line x = k, where k > 0, is 4/3 square units
Area bounded = 4/3 sq. units
= \(2 \int_0^kydx\)
⇒ 4/3 = \(2 \int_0^k\sqrt k \sqrt xdx\)
⇒1 = k2
⇒ k = ±1 (since k>0)
⇒ k = 1
∴ Option (b) is correct.
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