turkey-yks 2016 Q49

turkey-yks · Other · lys1-math Areas Between Curves Find Parameter Given Area Condition

Let k be a positive real number. The area of the bounded region between the line $\mathrm { y } = \mathrm { kx }$ and the parabola $y = x ^ { 2 }$ is $\frac { 9 } { 16 }$ square units.
Accordingly, what is the value of $\mathbf { k }$?
A) $\frac { 3 } { 2 }$
B) $\frac { 4 } { 3 }$
C) $\frac { 7 } { 4 }$
D) $\frac { 7 } { 6 }$
E) $\frac { 8 } { 5 }$

Let k be a positive real number. The area of the bounded region between the line $\mathrm { y } = \mathrm { kx }$ and the parabola $y = x ^ { 2 }$ is $\frac { 9 } { 16 }$ square units.

Accordingly, what is the value of $\mathbf { k }$?\\
A) $\frac { 3 } { 2 }$\\
B) $\frac { 4 } { 3 }$\\
C) $\frac { 7 } { 4 }$\\
D) $\frac { 7 } { 6 }$\\
E) $\frac { 8 } { 5 }$

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