turkey-yks 2018 Q21

turkey-yks · Other · yks-ayt Tangents, normals and gradients Determine unknown parameters from tangent conditions

Let a, b and c be real numbers. The equation of the tangent line to the curve
$$y = \frac { a } { x + a }$$
at point $P ( a , b )$ is given in the form
$$y = \frac { - x } { 8 } + c$$
Accordingly, what is the sum $a + b + c$?
A) $\frac { 7 } { 4 }$ B) $\frac { 11 } { 4 }$ C) $\frac { 13 } { 4 }$ D) 2 E) 3

Let a, b and c be real numbers. The equation of the tangent line to the curve

$$y = \frac { a } { x + a }$$

at point $P ( a , b )$ is given in the form

$$y = \frac { - x } { 8 } + c$$

Accordingly, what is the sum $a + b + c$?

A) $\frac { 7 } { 4 }$
B) $\frac { 11 } { 4 }$
C) $\frac { 13 } { 4 }$
D) 2
E) 3

Paper Questions

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