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Question: The value of m for which the area included between the curves y<sup>2</sup> = 4ax and y = mx equals ...

The value of m for which the area included between the curves y2 = 4ax and y = mx equals a2/3 is

A

1

B

2

C

3

D

3\sqrt { 3 }

Answer

2

Explanation

Solution

= a23\frac { \mathrm { a } ^ { 2 } } { 3 }

̃ = a2/3

̃ 8a23m3\frac { 8 a ^ { 2 } } { 3 m ^ { 3 } } = a23\frac { \mathrm { a } ^ { 2 } } { 3 } ̃ m = 2