Question

If the area bounded by the parabola x² = 4y, the x-axis and the line x = 4 is divided into two equal areas by the line x = a, then the value (s) of a is (are) -

• A. (32)^1/3
• B. 4
• C. (32)^1/2
• D. 32

Answer 1

Answer: (A)

(32)^1/3

Answer 2

2 =

̃ 2. $\frac { \alpha ^ { 3 } } { 12 }$ = $\frac { 1 } { 4 }$ $\frac { ( 4 ) ^ { 3 } } { 3 }$

̃ $\frac { \alpha ^ { 3 } } { 12 }$ = $\frac { 1 } { 2 }$ × $\frac { 16 } { 3 }$

̃ a³ = 32

̃ a = (32)^1/3