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Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaChordsMedium2 minPYQ_2013
MathematicsMediumsingle choice

Paragraph: Let be a focal chord of the parabola . The tangents to the parabola at and meet at a point lying on the line .
Question: If chord subtends an angle at the vertex of , then

Question diagram: Paragraph: Let PQ be a focal chord of the parabola y 2 = 4 a

Options:

Answer:
D
Solution:

t - 1 t = - 1
⇒     t + 1 t = 5
tan  θ = 2 t + 2 t 1 - 4 = 1 t + t - 3 = 2 5 - 3

Stream:JEE_ADVSubject:MathematicsTopic:ParabolaSubtopic:Chords
2mℹ️ Source: PYQ_2013

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