JEE Advanced Mathematics question
Normals are drawn from the point with slopes to the parabola . If the locus of when is part of the parabola itself then the value of is .
Answer: 2
Solution
The normal to with slope is . If it passes through :
+ (2 - α)m + β = 0,
whose roots are . So and . With : .
Since is a root: m_32m_3$ -
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