A) \[\frac{1}{2}\sqrt{41}\]
B) \[\sqrt{41}\]
C) \[\frac{3}{2}\sqrt{41}\]
D) \[2\sqrt{41}\]
Correct Answer: C
Solution :
Equation of chord of contact of tangent drawn from a point \[({{x}_{1,}}\,{{y}_{1}})\]to parabola \[{{y}^{2}}=4ax\]is \[y{{y}_{1}}=2a(x+{{x}_{1}})\] so that \[5y=2\times 2(x+2)\] Þ \[5y=4x+8.\] Point of intersection of chord of contact with parabola \[{{y}^{2}}=8x\] are \[\left( \frac{1}{2},\,2 \right),(8,\,8)\], so that length \[=\frac{3}{2}\sqrt{41}\].
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