If 2x-y+1=0 is a tangent to the hyperbola x^2 a^2 - y^2 16 =1, then which of the following CANNOT be sides of a right angled triangle?

JEE Advanced 2017 Mathematics question

If is a tangent to the hyperbola , then which of the following CANNOT be sides of a right angled triangle?

Answer: (A),(B),(C)

For to touch : . Here , , : , i.e. and . (A)

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Question ID VK-026628