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JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

The equation of the common tangent to the equal parabolas and is

Answer: (A)

Solution

Any tangent to is . Substituting in :

= 4a(mx + Missing argument for \frac\frac am) ⇒ - 4amx - = 0 .

For tangency this

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Question ID VK-109024