The length of the focal chord of the parabola y 2 = 4 x at a distance of 0.4 units from the origin is

Question

The length of the focal chord of the parabola y 2 = 4 x at a distance of 0.4 units from the origin is, 22 units, 23 units, 24 units, 25 units

MARKS App · Accepted Answer

Let, P Q is a focal chord and S is the focus Now, O S = 1 ⇒ In Δ O S R ( R is the foot of the perpendicular from O on P Q ) ⇒ c o s e c θ = 1 0 . 4 = 2 . 5 Length of P Q is equal to the length of latus rectum × c o s e c 2 θ ⇒ P Q = 4 2.5 2 = 4 × 6.2 5 = 2 5

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