turkey-yks 2014 Q44

turkey-yks · Other · lys1-math Tangents, normals and gradients Find tangent line with a specified slope or from an external point

$$x ^ { 2 } - y ^ { 2 } = 1$$
What is the distance between the points where the lines tangent to the hyperbola curve and having slope 3 intersect the y-axis, in units?
A) $\sqrt { 2 }$
B) $2 \sqrt { 2 }$
C) $4 \sqrt { 2 }$
D) $\sqrt { 3 }$
E) $2 \sqrt { 3 }$

$$x ^ { 2 } - y ^ { 2 } = 1$$

What is the distance between the points where the lines tangent to the hyperbola curve and having slope 3 intersect the y-axis, in units?\\
A) $\sqrt { 2 }$\\
B) $2 \sqrt { 2 }$\\
C) $4 \sqrt { 2 }$\\
D) $\sqrt { 3 }$\\
E) $2 \sqrt { 3 }$

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