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JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

The equation of a common tangent to the parabola and the circle is

Answer: (B),(C)

Solution

For , ; any tangent is … (1). The circle has centre and radius 2.

(1) touches the circle iff its distance from equals 2:

= 2 ⇒ - 2 + = 4 + ⇒

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Question ID VK-109053