Question
Question: The area enclosed between the parabolas y<sup>2</sup> = 4ax and x<sup>2</sup> = 4by is –...
The area enclosed between the parabolas y2 = 4ax and
x2 = 4by is –
A
38ab
B
316ab
C
34ab
D
None of these
Answer
316ab
Explanation
Solution
y2 = 4ax … (1)
x2 = 4by … (2)
Using (2) in (1) 16b2x4 = 4ax Ž x = 0 or x3 = 64ab2 i.e.
x = 0, 4a1/3 b2/3.
\ Required area= 4ax – 4bx2dx
= 316ab. (on calculation)