turkey-yks 2019 Q26

turkey-yks · Other · yks-ayt Tangents, normals and gradients Common tangent line to two curves

In the rectangular coordinate plane, the tangent line drawn to the graph of the function $f ( x ) = x ^ { 2 } + a x$ at the point $( 2 , f ( 2 ) )$ is tangent to the graph of the function $g ( x ) = b x ^ { 3 }$ at the point $( 1 , g ( 1 ) )$. Accordingly, what is the product $\mathbf { a } \cdot \mathbf { b }$?
A) 2
B) 4
C) 6
D) 8
E) 10

In the rectangular coordinate plane, the tangent line drawn to the graph of the function $f ( x ) = x ^ { 2 } + a x$ at the point $( 2 , f ( 2 ) )$ is tangent to the graph of the function $g ( x ) = b x ^ { 3 }$ at the point $( 1 , g ( 1 ) )$.\\
Accordingly, what is the product $\mathbf { a } \cdot \mathbf { b }$?\\
A) 2\\
B) 4\\
C) 6\\
D) 8\\
E) 10

Paper Questions

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