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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: Length of chord is

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

Options:

Answer:
B
Solution:

R lies on y = 2x + a
R, y = 2x + a

t - 1 t = - a
t - 1 t = - 1
t + 1 t 2 = 1 + 4 = 5
PQ = t + 1 t 2 = 5 a

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

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