Conic Sections Question 161

Question: The focal chord to $ y^{2}=16x $ is tangent to $ {{(x-6)}^{2}}+y^{2}=2 $ , then the possible value of the slope of this chord, are

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Options:

A) $ {-1,\ 1} $

B) {-2, 2}

C) {-2, 1/2}

D) {2, -1/2}

Show Answer

Answer:

Correct Answer: A

Solution:

From diagram, $ \theta =45^{o} $

therefore Slope = $ \pm 1 $ .